20121111112102 has 128 divisors (see below), whose sum is σ = 41795621941248. Its totient is φ = 7012272384000.

The previous prime is 20121111112033. The next prime is 20121111112127.

20121111112102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×20121111112102² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 8444878 + ... + 10562110.

It is an arithmetic number, because the mean of its divisors is an integer number (326528296416).

Almost surely, 2^{20121111112102} is an apocalyptic number.

20121111112102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20121111112102 is an abundant number, since it is smaller than the sum of its proper divisors (21674510829146).

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

20121111112102 is a wasteful number, since it uses less digits than its factorization.

20121111112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117414.

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

It can be divided in two parts, 2012111 and 1112102, that added together give a palindrome (3124213).

The spelling of 20121111112102 in words is "twenty trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand, one hundred two".