100212211112121 has 32 divisors (see below), whose sum is σ = 149941090828800. Its totient is φ = 66142866758400.

The previous prime is 100212211112089. The next prime is 100212211112147. The reversal of 100212211112121 is 121211112212001.

It is a happy number.

100212211112121 is a `hidden beast` number, since 10 + 0 + 212 + 211 + 112 + 121 = 666.

It is not a de Polignac number, because 100212211112121 - 2⁵ = 100212211112089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100212211112094 and 100212211112103.

It is not an unprimeable number, because it can be changed into a prime (100212211112161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46725505 + ... + 48823121.

It is an arithmetic number, because the mean of its divisors is an integer number (4685659088400).

Almost surely, 2^{100212211112121} is an apocalyptic number.

It is an amenable number.

100212211112121 is a deficient number, since it is larger than the sum of its proper divisors (49728879716679).

100212211112121 is a wasteful number, since it uses less digits than its factorization.

100212211112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115246 (or 2115240 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 100212211112121 its reverse (121211112212001), we get a palindrome (221423323324122).

The spelling of 100212211112121 in words is "one hundred trillion, two hundred twelve billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty-one".