100212211121121 has 24 divisors (see below), whose sum is σ = 157914037348704. Its totient is φ = 60733178602560.

The previous prime is 100212211121101. The next prime is 100212211121123. The reversal of 100212211121121 is 121121112212001.

It is a happy number.

100212211121121 is a `hidden beast` number, since 1 + 0 + 0 + 212 + 211 + 121 + 121 = 666.

It is not a de Polignac number, because 100212211121121 - 2⁵ = 100212211121089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100212211121094 and 100212211121103.

It is not an unprimeable number, because it can be changed into a prime (100212211121123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8407351 + ... + 16465356.

It is an arithmetic number, because the mean of its divisors is an integer number (6579751556196).

Almost surely, 2^{100212211121121} is an apocalyptic number.

100212211121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212211121121 is a deficient number, since it is larger than the sum of its proper divisors (57701826227583).

100212211121121 is a wasteful number, since it uses less digits than its factorization.

100212211121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24913421 (or 24913418 counting only the distinct ones).

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

Adding to 100212211121121 its reverse (121121112212001), we get a palindrome (221333323333122).

The spelling of 100212211121121 in words is "one hundred trillion, two hundred twelve billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty-one".