101021221122210 has 80 divisors (see below), whose sum is σ = 271702943681400. Its totient is φ = 26932238118144.

The previous prime is 101021221122193. The next prime is 101021221122259. The reversal of 101021221122210 is 12221122120101.

101021221122210 is a `hidden beast` number, since 1 + 0 + 10 + 212 + 211 + 22 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60503553230409 + 40517667891801 = 7778403^2 + 6365349^2 .

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 39 ways as a sum of consecutive naturals, for example, 12401595 + ... + 18863774.

Almost surely, 2^{101021221122210} is an apocalyptic number.

101021221122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101021221122210 is an abundant number, since it is smaller than the sum of its proper divisors (170681722559190).

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

101021221122210 is a wasteful number, since it uses less digits than its factorization.

101021221122210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31269377 (or 31269368 counting only the distinct ones).

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

Adding to 101021221122210 its reverse (12221122120101), we get a palindrome (113242343242311).

The spelling of 101021221122210 in words is "one hundred one trillion, twenty-one billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred ten".