100212122021121 has 48 divisors (see below), whose sum is σ = 164784501378432. Its totient is φ = 58090867718400.

The previous prime is 100212122021113. The next prime is 100212122021149. The reversal of 100212122021121 is 121120221212001.

100212122021121 is a `hidden beast` number, since 1 + 0 + 0 + 212 + 1 + 220 + 211 + 21 = 666.

It is not a de Polignac number, because 100212122021121 - 2³ = 100212122021113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100212122021094 and 100212122021103.

It is not an unprimeable number, because it can be changed into a prime (100212122021191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41620731 + ... + 43962591.

It is an arithmetic number, because the mean of its divisors is an integer number (3433010445384).

Almost surely, 2^{100212122021121} is an apocalyptic number.

100212122021121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212122021121 is a deficient number, since it is larger than the sum of its proper divisors (64572379357311).

100212122021121 is a wasteful number, since it uses less digits than its factorization.

100212122021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360694 (or 2360691 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100212122021121 its reverse (121120221212001), we get a palindrome (221332343233122).

The spelling of 100212122021121 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-two million, twenty-one thousand, one hundred twenty-one".