20121100112102 has 32 divisors (see below), whose sum is σ = 34674773760000. Its totient is φ = 8660483690400.

The previous prime is 20121100112101. The next prime is 20121100112221.

20121100112102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×20121100112102² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121100112101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10518977 + ... + 12283772.

It is an arithmetic number, because the mean of its divisors is an integer number (1083586680000).

Almost surely, 2^{20121100112102} is an apocalyptic number.

20121100112102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20121100112102 is a deficient number, since it is larger than the sum of its proper divisors (14553673647898).

20121100112102 is a wasteful number, since it uses less digits than its factorization.

20121100112102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22804892.

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

It can be divided in two parts, 20121100 and 112102, that added together give a palindrome (20233202).

The spelling of 20121100112102 in words is "twenty trillion, one hundred twenty-one billion, one hundred million, one hundred twelve thousand, one hundred two".