100212012120121 has 16 divisors (see below), whose sum is σ = 109980100758528. Its totient is φ = 90553606995600.

The previous prime is 100212012120097. The next prime is 100212012120131. The reversal of 100212012120121 is 121021210212001.

It is a cyclic number.

It is not a de Polignac number, because 100212012120121 - 2⁵ = 100212012120089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100212012120095 and 100212012120104.

It is not an unprimeable number, because it can be changed into a prime (100212012120131) by changing a digit.

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, 62085526 + ... + 63679168.

It is an arithmetic number, because the mean of its divisors is an integer number (6873756297408).

Almost surely, 2^{100212012120121} is an apocalyptic number.

100212012120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212012120121 is a deficient number, since it is larger than the sum of its proper divisors (9768088638407).

100212012120121 is a wasteful number, since it uses less digits than its factorization.

100212012120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628052.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100212012120121 its reverse (121021210212001), we get a palindrome (221233222332122).

The spelling of 100212012120121 in words is "one hundred trillion, two hundred twelve billion, twelve million, one hundred twenty thousand, one hundred twenty-one".