101122121102210 has 64 divisors (see below), whose sum is σ = 198376691436000. Its totient is φ = 36889407700992.

The previous prime is 101122121102201. The next prime is 101122121102221. The reversal of 101122121102210 is 12201121221101.

It can be written as a sum of positive squares in 16 ways, for example, as 41168892857401 + 59953228244809 = 6416299^2 + 7742947^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11636966 + ... + 18375614.

Almost surely, 2^{101122121102210} is an apocalyptic number.

101122121102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101122121102210 is a deficient number, since it is larger than the sum of its proper divisors (97254570333790).

101122121102210 is a wasteful number, since it uses less digits than its factorization.

101122121102210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6740055.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101122121102210 its reverse (12201121221101), we get a palindrome (113323242323311).

The spelling of 101122121102210 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred two thousand, two hundred ten".