201021120102 has 128 divisors (see below), whose sum is σ = 460004686848. Its totient is φ = 58023475200.

The previous prime is 201021120061. The next prime is 201021120133.

201021120102 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 (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24418327 + ... + 24426557.

It is an arithmetic number, because the mean of its divisors is an integer number (3593786616).

Almost surely, 2^201021120102 is an apocalyptic number.

201021120102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201021120102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230002343424).

201021120102 is an abundant number, since it is smaller than the sum of its proper divisors (258983566746).

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

201021120102 is a wasteful number, since it uses less digits than its factorization.

201021120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8494.

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

It can be divided in two parts, 201021 and 120102, that added together give a palindrome (321123).

The spelling of 201021120102 in words is "two hundred one billion, twenty-one million, one hundred twenty thousand, one hundred two".