100201010112 has 84 divisors (see below), whose sum is σ = 328237845936. Its totient is φ = 28628858880.

The previous prime is 100201010099. The next prime is 100201010113. The reversal of 100201010112 is 211010102001.

It is a happy number.

100201010112 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 (84).

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 = 100201010094 and 100201010103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201010113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12421689 + ... + 12429752.

It is an arithmetic number, because the mean of its divisors is an integer number (3907593404).

Almost surely, 2^100201010112 is an apocalyptic number.

100201010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100201010112 is an abundant number, since it is smaller than the sum of its proper divisors (228036835824).

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

100201010112 is a wasteful number, since it uses less digits than its factorization.

100201010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24851466 (or 24851453 counting only the distinct ones).

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

Adding to 100201010112 its reverse (211010102001), we get a palindrome (311211112113).

The spelling of 100201010112 in words is "one hundred billion, two hundred one million, ten thousand, one hundred twelve".