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1002111210100 = 22527111310011101
BaseRepresentation
bin11101001010100100111…
…10111001001001110100
310112210121212001000021201
432211102132321021310
5112404310432210400
62044210305022244
7132254151512350
oct16452236711164
93483555030251
101002111210100
11356aa1720330
12142271024984
13736637acca0
14367069b0460
151b101c9506a
hexe9527b9274

1002111210100 has 144 divisors (see below), whose sum is σ = 2919717876096. Its totient is φ = 288319680000.

The previous prime is 1002111209947. The next prime is 1002111210137. The reversal of 1002111210100 is 10121112001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4905451 + ... + 5105650.

It is an arithmetic number, because the mean of its divisors is an integer number (20275818584).

Almost surely, 21002111210100 is an apocalyptic number.

1002111210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002111210100 is an abundant number, since it is smaller than the sum of its proper divisors (1917606665996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002111210100 is a wasteful number, since it uses less digits than its factorization.

1002111210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10011146 (or 10011139 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1002111210100 its reverse (10121112001), we get a palindrome (1012232322101).

The spelling of 1002111210100 in words is "one trillion, two billion, one hundred eleven million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 10011101 20022202 40044404 50055505 70077707 100111010 110122111 130144313 140155414 200222020 220244222 250277525 260288626 280310828 350388535 440488444 500555050 520577252 550610555 650721565 700777070 770854777 911010191 1001110100 1101221110 1301443130 1401554140 1431587443 1541709554 1751942675 1822020382 2202442220 2602886260 2753052775 2863174886 3083419108 3253607825 3503885350 3644040764 3854273885 4555050955 5506105550 5726349772 6507215650 7007770700 7157937215 7708547770 9110101910 10021112101 11012211100 13014431300 14315874430 15417095540 18220203820 19271369425 20042224202 22775254775 28631748860 35789686075 38542738850 40084448404 45550509550 50105560505 71579372150 77085477700 91101019100 100211121010 143158744300 200422242020 250527802525 501055605050 1002111210100