101102201112210 has 64 divisors (see below), whose sum is σ = 256842992793600. Its totient is φ = 25398918124992.

The previous prime is 101102201112203. The next prime is 101102201112233. The reversal of 101102201112210 is 12211102201101.

It is a happy number.

101102201112210 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 2×101102201112210² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101102201112210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495351274 + ... + 495555333.

It is an arithmetic number, because the mean of its divisors is an integer number (4013171762400).

Almost surely, 2^{101102201112210} is an apocalyptic number.

101102201112210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101102201112210 is an abundant number, since it is smaller than the sum of its proper divisors (155740791681390).

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

101102201112210 is a wasteful number, since it uses less digits than its factorization.

101102201112210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990906815.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101102201112210 its reverse (12211102201101), we get a palindrome (113313303313311).

The spelling of 101102201112210 in words is "one hundred one trillion, one hundred two billion, two hundred one million, one hundred twelve thousand, two hundred ten".