100201021100112 has 20 divisors (see below), whose sum is σ = 258852637842080. Its totient is φ = 33400340366688.

The previous prime is 100201021100111. The next prime is 100201021100149. The reversal of 100201021100112 is 211001120102001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201021100111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1043760636412 + ... + 1043760636507.

It is an arithmetic number, because the mean of its divisors is an integer number (12942631892104).

Almost surely, 2^{100201021100112} is an apocalyptic number.

100201021100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100201021100112 is an abundant number, since it is smaller than the sum of its proper divisors (158651616741968).

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

100201021100112 is a wasteful number, since it uses less digits than its factorization.

100201021100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087521272930 (or 2087521272924 counting only the distinct ones).

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

Adding to 100201021100112 its reverse (211001120102001), we get a palindrome (311202141202113).

The spelling of 100201021100112 in words is "one hundred trillion, two hundred one billion, twenty-one million, one hundred thousand, one hundred twelve".