20121011012102 has 288 divisors, whose sum is σ = 41739017969664. Its totient is φ = 7190227699200.

The previous prime is 20121011012083. The next prime is 20121011012111.

20121011012102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31887497327 + ... + 31887497957.

It is an arithmetic number, because the mean of its divisors is an integer number (144927145728).

Almost surely, 2^{20121011012102} is an apocalyptic number.

20121011012102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20121011012102 is an abundant number, since it is smaller than the sum of its proper divisors (21618006957562).

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

20121011012102 is a wasteful number, since it uses less digits than its factorization.

20121011012102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1504 counting only the distinct ones).

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

It can be divided in two parts, 2012101 and 1012102, that added together give a palindrome (3024203).

The spelling of 20121011012102 in words is "twenty trillion, one hundred twenty-one billion, eleven million, twelve thousand, one hundred two".