20012100121002 has 32 divisors (see below), whose sum is σ = 43665920489664. Its totient is φ = 6063834348800.

The previous prime is 20012100120997. The next prime is 20012100121067.

20012100121002 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 10039953 + ... + 11866964.

It is an arithmetic number, because the mean of its divisors is an integer number (1364560015302).

Almost surely, 2^{20012100121002} is an apocalyptic number.

20012100121002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20012100121002 is an abundant number, since it is smaller than the sum of its proper divisors (23653820368662).

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

20012100121002 is a wasteful number, since it uses less digits than its factorization.

20012100121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21920774.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 20012100 and 121002, that added together give a palindrome (20133102).

The spelling of 20012100121002 in words is "twenty trillion, twelve billion, one hundred million, one hundred twenty-one thousand, two".