100212122129 has 8 divisors (see below), whose sum is σ = 115662082368. Its totient is φ = 85045647600.

The previous prime is 100212122083. The next prime is 100212122137. The reversal of 100212122129 is 921221212001.

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 100212122129 - 2²⁰ = 100211073553 is a prime.

It is a super-2 number, since 2×100212122129² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100212122149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70870667 + ... + 70872080.

It is an arithmetic number, because the mean of its divisors is an integer number (14457760296).

Almost surely, 2^100212122129 is an apocalyptic number.

It is an amenable number.

100212122129 is a deficient number, since it is larger than the sum of its proper divisors (15449960239).

100212122129 is a wasteful number, since it uses less digits than its factorization.

100212122129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141742855.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 100212122129 in words is "one hundred billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty-nine".