101101022222000 has 80 divisors (see below), whose sum is σ = 244465102151712. Its totient is φ = 40439940665600.

The previous prime is 101101022221999. The next prime is 101101022222087. The reversal of 101101022222000 is 222220101101.

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

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 15 ways as a sum of consecutive naturals, for example, 210406022 + ... + 210885978.

Almost surely, 2^{101101022222000} is an apocalyptic number.

101101022222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101022222000 is an abundant number, since it is smaller than the sum of its proper divisors (143364079929712).

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

101101022222000 is a wasteful number, since it uses less digits than its factorization.

101101022222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585303 (or 585287 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101101022222000 its reverse (222220101101), we get a palindrome (101323242323101).

The spelling of 101101022222000 in words is "one hundred one trillion, one hundred one billion, twenty-two million, two hundred twenty-two thousand".