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100201011111010 = 2529261253177171
BaseRepresentation
bin10110110010000111011101…
…101011000110010001100010
3111010210010022202011222100001
4112302013131223012101202
5101113143132321023020
6553035413052250214
730051166315324615
oct2662073553062142
9433703282158301
10100201011111010
1129a220125a0007
12b2a3763a7096a
1343babb7a92754
141aa5a7d2d417c
15b8b6d18bc50a
hex5b21ddac6462

100201011111010 has 96 divisors (see below), whose sum is σ = 189935352270144. Its totient is φ = 38048390688000.

The previous prime is 100201011110951. The next prime is 100201011111011. The reversal of 100201011111010 is 10111110102001.

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

It is not an unprimeable number, because it can be changed into a prime (100201011111011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1298389725 + ... + 1298466895.

It is an arithmetic number, because the mean of its divisors is an integer number (1978493252814).

Almost surely, 2100201011111010 is an apocalyptic number.

100201011111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201011111010 is a deficient number, since it is larger than the sum of its proper divisors (89734341159134).

100201011111010 is a wasteful number, since it uses less digits than its factorization.

100201011111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79828 (or 79799 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100201011111010 its reverse (10111110102001), we get a palindrome (110312121213011).

The spelling of 100201011111010 in words is "one hundred trillion, two hundred one billion, eleven million, one hundred eleven thousand, ten".

Divisors: 1 2 5 10 29 58 61 122 145 290 305 610 841 1682 1769 2531 3538 4205 5062 8410 8845 12655 17690 25310 51301 73399 77171 102602 146798 154342 154391 256505 308782 366995 385855 513010 733990 771710 771955 1543910 2128571 2237959 4257142 4475918 4477339 4707431 8954678 9414862 10642855 11189795 21285710 22379590 22386695 23537155 44773390 47074310 64900811 129801622 129842831 136515499 195319801 259685662 273030998 324504055 390639602 649008110 649214155 682577495 976599005 1298428310 1365154990 1953198010 3958949471 5664274229 7917898942 11328548458 11914507861 19794747355 23829015722 28321371145 39589494710 56642742290 59572539305 119145078610 164263952641 328527905282 345520727969 691041455938 821319763205 1642639526410 1727603639845 3455207279690 10020101111101 20040202222202 50100505555505 100201011111010