202201102021120 has 160 divisors (see below), whose sum is σ = 491351379217776. Its totient is φ = 79794634752000.

The previous prime is 202201102021081. The next prime is 202201102021129. The reversal of 202201102021120 is 21120201102202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 127882081782016 + 74319020239104 = 11308496^2 + 8620848^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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 = 202201102021094 and 202201102021103.

It is not an unprimeable number, because it can be changed into a prime (202201102021129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71263852 + ... + 74046868.

Almost surely, 2^{202201102021120} is an apocalyptic number.

202201102021120 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 202201102021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245675689608888).

202201102021120 is an abundant number, since it is smaller than the sum of its proper divisors (289150277196656).

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

202201102021120 is a wasteful number, since it uses less digits than its factorization.

202201102021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783422 (or 2783406 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202201102021120 its reverse (21120201102202), we get a palindrome (223321303123322).

The spelling of 202201102021120 in words is "two hundred two trillion, two hundred one billion, one hundred two million, twenty-one thousand, one hundred twenty".