100210212111009 has 128 divisors (see below), whose sum is σ = 182104378380288. Its totient is φ = 47327972060160.

The previous prime is 100210212110977. The next prime is 100210212111017. The reversal of 100210212111009 is 900111212012001.

It is not a de Polignac number, because 100210212111009 - 2⁵ = 100210212110977 is a prime.

It is a super-2 number, since 2×100210212111009² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100210212111409) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1354649347 + ... + 1354723319.

It is an arithmetic number, because the mean of its divisors is an integer number (1422690456096).

Almost surely, 2^{100210212111009} is an apocalyptic number.

It is an amenable number.

100210212111009 is a deficient number, since it is larger than the sum of its proper divisors (81894166269279).

100210212111009 is a wasteful number, since it uses less digits than its factorization.

100210212111009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80807.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 100210212111009 in words is "one hundred trillion, two hundred ten billion, two hundred twelve million, one hundred eleven thousand, nine".