204021120402 has 72 divisors (see below), whose sum is σ = 486785945100. Its totient is φ = 61709947200.

The previous prime is 204021120377. The next prime is 204021120427.

204021120402 is nontrivially palindromic in base 10.

204021120402 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204021120377) and next prime (204021120427).

It can be written as a sum of positive squares in 2 ways, for example, as 203113363761 + 907756641 = 450681^2 + 30129^2 .

It is a super-3 number, since 3×204021120402³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1091724 + ... + 1264872.

Almost surely, 2^204021120402 is an apocalyptic number.

204021120402 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 204021120402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243392972550).

204021120402 is an abundant number, since it is smaller than the sum of its proper divisors (282764824698).

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

204021120402 is a wasteful number, since it uses less digits than its factorization.

204021120402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173720 (or 173706 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 204021 and 120402, that added together give a palindrome (324423).

The spelling of 204021120402 in words is "two hundred four billion, twenty-one million, one hundred twenty thousand, four hundred two".