202113202122000 has 480 divisors, whose sum is σ = 760281018588000. Its totient is φ = 49746629836800.

The previous prime is 202113202121981. The next prime is 202113202122017. The reversal of 202113202122000 is 221202311202.

202113202122000 is a `hidden beast` number, since 20 + 211 + 3 + 20 + 212 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 190576147524624 + 11537054597376 = 13804932^2 + 3396624^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3334235692 + ... + 3334296308.

It is an arithmetic number, because the mean of its divisors is an integer number (1583918788725).

Almost surely, 2^{202113202122000} is an apocalyptic number.

202113202122000 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 202113202122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380140509294000).

202113202122000 is an abundant number, since it is smaller than the sum of its proper divisors (558167816466000).

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

202113202122000 is a wasteful number, since it uses less digits than its factorization.

202113202122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74908 (or 74889 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202113202122000 its reverse (221202311202), we get a palindrome (202334404433202).

The spelling of 202113202122000 in words is "two hundred two trillion, one hundred thirteen billion, two hundred two million, one hundred twenty-two thousand".