201021000120102 has 64 divisors (see below), whose sum is σ = 414995814604800. Its totient is φ = 64866365536896.

The previous prime is 201021000120079. The next prime is 201021000120251.

201021000120102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2185748923 + ... + 2185840889.

It is an arithmetic number, because the mean of its divisors is an integer number (6484309603200).

Almost surely, 2^{201021000120102} is an apocalyptic number.

201021000120102 is an abundant number, since it is smaller than the sum of its proper divisors (213974814484698).

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

201021000120102 is a wasteful number, since it uses less digits than its factorization.

201021000120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141685.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 201021000 and 120102, that added together give a palindrome (201141102).

The spelling of 201021000120102 in words is "two hundred one trillion, twenty-one billion, one hundred twenty thousand, one hundred two".