202001121211120 has 160 divisors (see below), whose sum is σ = 616358855508480. Its totient is φ = 59647631109120.

The previous prime is 202001121211117. The next prime is 202001121211147. The reversal of 202001121211120 is 21112121100202.

202001121211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×202001121211120³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 202001121211094 and 202001121211103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862840587 + ... + 863074666.

It is an arithmetic number, because the mean of its divisors is an integer number (3852242846928).

Almost surely, 2^{202001121211120} is an apocalyptic number.

202001121211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001121211120 is an abundant number, since it is smaller than the sum of its proper divisors (414357734297360).

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

202001121211120 is a wasteful number, since it uses less digits than its factorization.

202001121211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725915303 (or 1725915297 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 202001121211120 its reverse (21112121100202), we get a palindrome (223113242311322).

The spelling of 202001121211120 in words is "two hundred two trillion, one billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty".