100211020113312 has 48 divisors (see below), whose sum is σ = 292282141999680. Its totient is φ = 33403673370816.

The previous prime is 100211020113263. The next prime is 100211020113319. The reversal of 100211020113312 is 213311020112001.

100211020113312 is a `hidden beast` number, since 10 + 0 + 211 + 0 + 20 + 113 + 312 = 666.

100211020113312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100211020113319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57992487628 + ... + 57992489355.

It is an arithmetic number, because the mean of its divisors is an integer number (6089211291660).

Almost surely, 2^{100211020113312} is an apocalyptic number.

100211020113312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100211020113312 is an abundant number, since it is smaller than the sum of its proper divisors (192071121886368).

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

100211020113312 is a wasteful number, since it uses less digits than its factorization.

100211020113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115984977002 (or 115984976988 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100211020113312 its reverse (213311020112001), we get a palindrome (313522040225313).

The spelling of 100211020113312 in words is "one hundred trillion, two hundred eleven billion, twenty million, one hundred thirteen thousand, three hundred twelve".