201122101000 has 32 divisors (see below), whose sum is σ = 470625718680. Its totient is φ = 80448840000.

The previous prime is 201122100997. The next prime is 201122101073. The reversal of 201122101000 is 101221102.

It can be written as a sum of positive squares in 4 ways, for example, as 8114766724 + 193007334276 = 90082^2 + 439326^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100560051 + ... + 100562050.

Almost surely, 2^201122101000 is an apocalyptic number.

201122101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122101000 is an abundant number, since it is smaller than the sum of its proper divisors (269503617680).

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

201122101000 is a wasteful number, since it uses less digits than its factorization.

201122101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201122122 (or 201122108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201122101000 its reverse (101221102), we get a palindrome (201223322102).

The spelling of 201122101000 in words is "two hundred one billion, one hundred twenty-two million, one hundred one thousand".