202201011120 has 160 divisors (see below), whose sum is σ = 662070124800. Its totient is φ = 50907681792.

The previous prime is 202201011119. The next prime is 202201011121. The reversal of 202201011120 is 21110102202.

It is an interprime number because it is at equal distance from previous prime (202201011119) and next prime (202201011121).

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 = 202201011096 and 202201011105.

It is not an unprimeable number, because it can be changed into a prime (202201011121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1260411 + ... + 1411749.

It is an arithmetic number, because the mean of its divisors is an integer number (4137938280).

Almost surely, 2^202201011120 is an apocalyptic number.

202201011120 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 202201011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331035062400).

202201011120 is an abundant number, since it is smaller than the sum of its proper divisors (459869113680).

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

202201011120 is a wasteful number, since it uses less digits than its factorization.

202201011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151667 (or 151661 counting only the distinct ones).

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

Adding to 202201011120 its reverse (21110102202), we get a palindrome (223311113322).

The spelling of 202201011120 in words is "two hundred two billion, two hundred one million, eleven thousand, one hundred twenty".