101022201022210 has 192 divisors, whose sum is σ = 202740282819360. Its totient is φ = 36210659696640.

The previous prime is 101022201022187. The next prime is 101022201022217. The reversal of 101022201022210 is 12220102220101.

It is a happy number.

It can be written as a sum of positive squares in 48 ways, for example, as 90746066801329 + 10276134220881 = 9526073^2 + 3205641^2 .

It is not an unprimeable number, because it can be changed into a prime (101022201022217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7429735132 + ... + 7429748728.

Almost surely, 2^{101022201022210} is an apocalyptic number.

101022201022210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101022201022210 is an abundant number, since it is smaller than the sum of its proper divisors (101718081797150).

101022201022210 is a wasteful number, since it uses less digits than its factorization.

101022201022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14553 (or 14540 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101022201022210 its reverse (12220102220101), we get a palindrome (113242303242311).

The spelling of 101022201022210 in words is "one hundred one trillion, twenty-two billion, two hundred one million, twenty-two thousand, two hundred ten".