101102002211210 has 512 divisors, whose sum is σ = 252498987417600. Its totient is φ = 28137703587840.

The previous prime is 101102002211173. The next prime is 101102002211227. The reversal of 101102002211210 is 12112200201101.

101102002211210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101102002211210² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8260636271 + ... + 8260648509.

It is an arithmetic number, because the mean of its divisors is an integer number (493162084800).

Almost surely, 2^{101102002211210} is an apocalyptic number.

101102002211210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101102002211210 is an abundant number, since it is smaller than the sum of its proper divisors (151396985206390).

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

101102002211210 is a wasteful number, since it uses less digits than its factorization.

101102002211210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12566.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101102002211210 its reverse (12112200201101), we get a palindrome (113214202412311).

The spelling of 101102002211210 in words is "one hundred one trillion, one hundred two billion, two million, two hundred eleven thousand, two hundred ten".