100212111010121 has 8 divisors (see below), whose sum is σ = 109345274673600. Its totient is φ = 91082775972240.

The previous prime is 100212111010093. The next prime is 100212111010127. The reversal of 100212111010121 is 121010111212001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100212111010121 - 2⁴² = 95814064499017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212111010096 and 100212111010105.

It is not an unprimeable number, because it can be changed into a prime (100212111010127) 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 7 ways as a sum of consecutive naturals, for example, 957101666 + ... + 957206363.

It is an arithmetic number, because the mean of its divisors is an integer number (13668159334200).

Almost surely, 2^{100212111010121} is an apocalyptic number.

100212111010121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212111010121 is a deficient number, since it is larger than the sum of its proper divisors (9133163663479).

100212111010121 is a wasteful number, since it uses less digits than its factorization.

100212111010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914312799.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100212111010121 its reverse (121010111212001), we get a palindrome (221222222222122).

The spelling of 100212111010121 in words is "one hundred trillion, two hundred twelve billion, one hundred eleven million, ten thousand, one hundred twenty-one".