201012120122100 has 288 divisors, whose sum is σ = 686992498832640. Its totient is φ = 44419113123840.

The previous prime is 201012120122041. The next prime is 201012120122117. The reversal of 201012120122100 is 1221021210102.

201012120122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201012120122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3959956 + ... + 20437844.

Almost surely, 2^{201012120122100} is an apocalyptic number.

201012120122100 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 201012120122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343496249416320).

201012120122100 is an abundant number, since it is smaller than the sum of its proper divisors (485980378710540).

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

201012120122100 is a wasteful number, since it uses less digits than its factorization.

201012120122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16478107 (or 16478100 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201012120122100 its reverse (1221021210102), we get a palindrome (202233141332202).

The spelling of 201012120122100 in words is "two hundred one trillion, twelve billion, one hundred twenty million, one hundred twenty-two thousand, one hundred".