201101210112100 has 36 divisors (see below), whose sum is σ = 436409129018548. Its totient is φ = 80436889008000.

The previous prime is 201101210112083. The next prime is 201101210112199. The reversal of 201101210112100 is 1211012101102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3920019849216 + 197181190262884 = 1979904^2 + 14042122^2 .

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, 42688671 + ... + 47164870.

Almost surely, 2^{201101210112100} is an apocalyptic number.

201101210112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101210112100 is an abundant number, since it is smaller than the sum of its proper divisors (235307918906448).

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

201101210112100 is a wasteful number, since it uses less digits than its factorization.

201101210112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89875936 (or 89875929 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 201101210112100 its reverse (1211012101102), we get a palindrome (202312222213202).

The spelling of 201101210112100 in words is "two hundred one trillion, one hundred one billion, two hundred ten million, one hundred twelve thousand, one hundred".