101102222012210 has 256 divisors, whose sum is σ = 211386576821760. Its totient is φ = 34576214999040.

The previous prime is 101102222012177. The next prime is 101102222012213. The reversal of 101102222012210 is 12210222201101.

It is a super-2 number, since 2×101102222012210² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (101102222012213) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1639455797 + ... + 1639517463.

It is an arithmetic number, because the mean of its divisors is an integer number (825728815710).

Almost surely, 2^{101102222012210} is an apocalyptic number.

101102222012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101102222012210 is an abundant number, since it is smaller than the sum of its proper divisors (110284354809550).

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

101102222012210 is a wasteful number, since it uses less digits than its factorization.

101102222012210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61981.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101102222012210 its reverse (12210222201101), we get a palindrome (113312444213311).

The spelling of 101102222012210 in words is "one hundred one trillion, one hundred two billion, two hundred twenty-two million, twelve thousand, two hundred ten".