101122202112210 has 96 divisors (see below), whose sum is σ = 278512783389360. Its totient is φ = 25367901057024.

The previous prime is 101122202112209. The next prime is 101122202112317. The reversal of 101122202112210 is 12211202221101.

101122202112210 is a `hidden beast` number, since 1 + 0 + 1 + 12 + 220 + 211 + 221 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 44284459787649 + 56837742324561 = 6654657^2 + 7539081^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12054945 + ... + 18643124.

Almost surely, 2^{101122202112210} is an apocalyptic number.

101122202112210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101122202112210 is an abundant number, since it is smaller than the sum of its proper divisors (177390581277150).

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

101122202112210 is a wasteful number, since it uses less digits than its factorization.

101122202112210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30700252 (or 30700249 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101122202112210 its reverse (12211202221101), we get a palindrome (113333404333311).

The spelling of 101122202112210 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred two million, one hundred twelve thousand, two hundred ten".