202011211122100 has 18 divisors (see below), whose sum is σ = 438364328135174. Its totient is φ = 80804484448800.

The previous prime is 202011211122053. The next prime is 202011211122121. The reversal of 202011211122100 is 1221112110202.

It can be written as a sum of positive squares in 3 ways, for example, as 24966791035684 + 177044420086416 = 4996678^2 + 13305804^2 .

It is a super-2 number, since 2×202011211122100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1010056055511 + ... + 1010056055710.

Almost surely, 2^{202011211122100} is an apocalyptic number.

202011211122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202011211122100 is an abundant number, since it is smaller than the sum of its proper divisors (236353117013074).

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

202011211122100 is a wasteful number, since it uses less digits than its factorization.

202011211122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020112111235 (or 2020112111228 counting only the distinct ones).

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

Adding to 202011211122100 its reverse (1221112110202), we get a palindrome (203232323232302).

The spelling of 202011211122100 in words is "two hundred two trillion, eleven billion, two hundred eleven million, one hundred twenty-two thousand, one hundred".