101102222122000 has 80 divisors (see below), whose sum is σ = 266689279793664. Its totient is φ = 36764444400000.

The previous prime is 101102222121959. The next prime is 101102222122001. The reversal of 101102222122000 is 221222201101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101102222122001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2297755776 + ... + 2297799775.

Almost surely, 2^{101102222122000} is an apocalyptic number.

101102222122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102222122000 is an abundant number, since it is smaller than the sum of its proper divisors (165587057671664).

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

101102222122000 is a wasteful number, since it uses less digits than its factorization.

101102222122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595555585 (or 4595555569 counting only the distinct ones).

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

Adding to 101102222122000 its reverse (221222201101), we get a palindrome (101323444323101).

The spelling of 101102222122000 in words is "one hundred one trillion, one hundred two billion, two hundred twenty-two million, one hundred twenty-two thousand".