100211012120100 has 144 divisors (see below), whose sum is σ = 331377212945408. Its totient is φ = 22904489439360.

The previous prime is 100211012120083. The next prime is 100211012120189. The reversal of 100211012120100 is 1021210112001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54243807 + ... + 56060793.

Almost surely, 2^{100211012120100} is an apocalyptic number.

100211012120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211012120100 is an abundant number, since it is smaller than the sum of its proper divisors (231166200825308).

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

100211012120100 is a wasteful number, since it uses less digits than its factorization.

100211012120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843274 (or 1843267 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100211012120100 its reverse (1021210112001), we get a palindrome (101232222232101).

The spelling of 100211012120100 in words is "one hundred trillion, two hundred eleven billion, twelve million, one hundred twenty thousand, one hundred".