100211100012 has 36 divisors (see below), whose sum is σ = 253326593520. Its totient is φ = 33401695392.

The previous prime is 100211099993. The next prime is 100211100049. The reversal of 100211100012 is 210001112001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100211099967 and 100211100003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601689 + ... + 749967.

It is an arithmetic number, because the mean of its divisors is an integer number (7036849820).

Almost surely, 2^100211100012 is an apocalyptic number.

100211100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100211100012 is an abundant number, since it is smaller than the sum of its proper divisors (153115493508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100211100012 is a wasteful number, since it uses less digits than its factorization.

100211100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167062 (or 167057 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100211100012 its reverse (210001112001), we get a palindrome (310212212013).

The spelling of 100211100012 in words is "one hundred billion, two hundred eleven million, one hundred thousand, twelve".