201001121100102 has 64 divisors (see below), whose sum is σ = 407250386172864. Its totient is φ = 66129887846400.

The previous prime is 201001121100089. The next prime is 201001121100119.

201001121100102 is nontrivially palindromic in base 10.

201001121100102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1375770568 + ... + 1375916660.

It is an arithmetic number, because the mean of its divisors is an integer number (6363287283951).

Almost surely, 2^{201001121100102} is an apocalyptic number.

201001121100102 is an abundant number, since it is smaller than the sum of its proper divisors (206249265072762).

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

201001121100102 is a wasteful number, since it uses less digits than its factorization.

201001121100102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153273.

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

The spelling of 201001121100102 in words is "two hundred one trillion, one billion, one hundred twenty-one million, one hundred thousand, one hundred two".