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2101212111200 = 25523677156717
BaseRepresentation
bin11110100100111010000…
…000000110000101100000
321102212121002021211012012
4132210322000012011200
5233411240300024300
64245141123452052
7304543665153326
oct36447200060540
97385532254165
102101212111200
11740134504a84
1229b28b827028
131231b3218a77
14739b08b3d16
15399cd846435
hex1e93a006160

2101212111200 has 72 divisors (see below), whose sum is σ = 5143561853472. Its totient is φ = 838194577920.

The previous prime is 2101212111181. The next prime is 2101212111211. The reversal of 2101212111200 is 21112121012.

It is a super-2 number, since 2×21012121112002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3284759 + ... + 3871958.

It is an arithmetic number, because the mean of its divisors is an integer number (71438359076).

Almost surely, 22101212111200 is an apocalyptic number.

2101212111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101212111200 is an abundant number, since it is smaller than the sum of its proper divisors (3042349742272).

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

2101212111200 is a wasteful number, since it uses less digits than its factorization.

2101212111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157104 (or 7157091 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2101212111200 its reverse (21112121012), we get a palindrome (2122324232212).

The spelling of 2101212111200 in words is "two trillion, one hundred one billion, two hundred twelve million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 367 400 734 800 1468 1835 2936 3670 5872 7340 9175 11744 14680 18350 29360 36700 58720 73400 146800 293600 7156717 14313434 28626868 35783585 57253736 71567170 114507472 143134340 178917925 229014944 286268680 357835850 572537360 715671700 1145074720 1431343400 2626515139 2862686800 5253030278 5725373600 10506060556 13132575695 21012121112 26265151390 42024242224 52530302780 65662878475 84048484448 105060605560 131325756950 210121211120 262651513900 420242422240 525303027800 1050606055600 2101212111200