202001011122120 has 128 divisors (see below), whose sum is σ = 696578218871040. Its totient is φ = 45904771445760.

The previous prime is 202001011122047. The next prime is 202001011122121. The reversal of 202001011122120 is 21221110100202.

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

It is a self number, because there is not a number n which added to its sum of digits gives 202001011122120.

It is not an unprimeable number, because it can be changed into a prime (202001011122121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 694876051 + ... + 695166690.

It is an arithmetic number, because the mean of its divisors is an integer number (5442017334930).

Almost surely, 2^{202001011122120} is an apocalyptic number.

202001011122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001011122120 is an abundant number, since it is smaller than the sum of its proper divisors (494577207748920).

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

202001011122120 is a wasteful number, since it uses less digits than its factorization.

202001011122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390042935 (or 1390042931 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202001011122120 its reverse (21221110100202), we get a palindrome (223222121222322).

The spelling of 202001011122120 in words is "two hundred two trillion, one billion, eleven million, one hundred twenty-two thousand, one hundred twenty".