302120113313100 has 144 divisors (see below), whose sum is σ = 893767283232768. Its totient is φ = 78759834984960.

The previous prime is 302120113313047. The next prime is 302120113313119. The reversal of 302120113313100 is 1313311021203.

It is a happy number.

It is a super-2 number, since 2×302120113313100² (a number of 30 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 245929 + ... + 24582528.

It is an arithmetic number, because the mean of its divisors is an integer number (6206717244672).

Almost surely, 2^{302120113313100} is an apocalyptic number.

302120113313100 is a gapful number since it is divisible by the number (30) 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 302120113313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446883641616384).

302120113313100 is an abundant number, since it is smaller than the sum of its proper divisors (591647169919668).

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

302120113313100 is a wasteful number, since it uses less digits than its factorization.

302120113313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24829384 (or 24829377 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 302120113313100 its reverse (1313311021203), we get a palindrome (303433424334303).

The spelling of 302120113313100 in words is "three hundred two trillion, one hundred twenty billion, one hundred thirteen million, three hundred thirteen thousand, one hundred".