201012100112100 has 108 divisors (see below), whose sum is σ = 583266351991344. Its totient is φ = 53449626072960.

The previous prime is 201012100112081. The next prime is 201012100112107. The reversal of 201012100112100 is 1211001210102.

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

It is not an unprimeable number, because it can be changed into a prime (201012100112107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33789747 + ... + 39290853.

Almost surely, 2^{201012100112100} is an apocalyptic number.

201012100112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201012100112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291633175995672).

201012100112100 is an abundant number, since it is smaller than the sum of its proper divisors (382254251879244).

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

201012100112100 is a wasteful number, since it uses less digits than its factorization.

201012100112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5501822 (or 5501466 counting only the distinct ones).

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

Adding to 201012100112100 its reverse (1211001210102), we get a palindrome (202223101322202).

The spelling of 201012100112100 in words is "two hundred one trillion, twelve billion, one hundred million, one hundred twelve thousand, one hundred".