100210022211012 has 48 divisors (see below), whose sum is σ = 274449069847680. Its totient is φ = 27857612351232.

The previous prime is 100210022211007. The next prime is 100210022211029. The reversal of 100210022211012 is 210112220012001.

100210022211012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100210022210982 and 100210022211000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16121300337 + ... + 16121306552.

It is an arithmetic number, because the mean of its divisors is an integer number (5717688955160).

Almost surely, 2^{100210022211012} is an apocalyptic number.

100210022211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100210022211012 is an abundant number, since it is smaller than the sum of its proper divisors (174239047636668).

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

100210022211012 is a wasteful number, since it uses less digits than its factorization.

100210022211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32242606940 (or 32242606938 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100210022211012 its reverse (210112220012001), we get a palindrome (310322242223013).

The spelling of 100210022211012 in words is "one hundred trillion, two hundred ten billion, twenty-two million, two hundred eleven thousand, twelve".