202201010010120 has 256 divisors, whose sum is σ = 674789130362880. Its totient is φ = 48061897344000.

The previous prime is 202201010010119. The next prime is 202201010010179. The reversal of 202201010010120 is 21010010102202.

It is a super-2 number, since 2×202201010010120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202201010010096 and 202201010010105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6369537 + ... + 21094383.

It is an arithmetic number, because the mean of its divisors is an integer number (2635895040480).

Almost surely, 2^{202201010010120} is an apocalyptic number.

202201010010120 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 202201010010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337394565181440).

202201010010120 is an abundant number, since it is smaller than the sum of its proper divisors (472588120352760).

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

202201010010120 is a wasteful number, since it uses less digits than its factorization.

202201010010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14725076 (or 14725072 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202201010010120 its reverse (21010010102202), we get a palindrome (223211020112322).

The spelling of 202201010010120 in words is "two hundred two trillion, two hundred one billion, ten million, ten thousand, one hundred twenty".