202120001160 has 256 divisors, whose sum is σ = 757247754240. Its totient is φ = 41928606720.

The previous prime is 202120001159. The next prime is 202120001183. The reversal of 202120001160 is 61100021202.

202120001160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 5590662 + ... + 5626698.

It is an arithmetic number, because the mean of its divisors is an integer number (2957999040).

Almost surely, 2^202120001160 is an apocalyptic number.

202120001160 is a gapful number since it is divisible by the number (20) 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 202120001160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378623877120).

202120001160 is an abundant number, since it is smaller than the sum of its proper divisors (555127753080).

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

202120001160 is a wasteful number, since it uses less digits than its factorization.

202120001160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36676 (or 36672 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 202120001160 its reverse (61100021202), we get a palindrome (263220022362).

The spelling of 202120001160 in words is "two hundred two billion, one hundred twenty million, one thousand, one hundred sixty".