201110010112100 has 36 divisors (see below), whose sum is σ = 451457298568500. Its totient is φ = 77670072869760.

The previous prime is 201110010112069. The next prime is 201110010112111. The reversal of 201110010112100 is 1211010011102.

It can be written as a sum of positive squares in 6 ways, for example, as 6162736740196 + 194947273371904 = 2482486^2 + 13962352^2 .

It is a super-4 number, since 4×201110010112100⁴ (a number of 58 digits) contains 4444 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 34674136775 + ... + 34674142574.

Almost surely, 2^{201110010112100} is an apocalyptic number.

201110010112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201110010112100 is an abundant number, since it is smaller than the sum of its proper divisors (250347288456400).

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

201110010112100 is a wasteful number, since it uses less digits than its factorization.

201110010112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69348279392 (or 69348279385 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 201110010112100 its reverse (1211010011102), we get a palindrome (202321020123202).

The spelling of 201110010112100 in words is "two hundred one trillion, one hundred ten billion, ten million, one hundred twelve thousand, one hundred".