101012022022000 has 80 divisors (see below), whose sum is σ = 244267081647264. Its totient is φ = 40401498240000.

The previous prime is 101012022021949. The next prime is 101012022022031. The reversal of 101012022022000 is 220220210101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22419015 + ... + 26544985.

Almost surely, 2^{101012022022000} is an apocalyptic number.

101012022022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012022022000 is an abundant number, since it is smaller than the sum of its proper divisors (143255059625264).

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

101012022022000 is a wasteful number, since it uses less digits than its factorization.

101012022022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138235 (or 4138219 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101012022022000 its reverse (220220210101), we get a palindrome (101232242232101).

The spelling of 101012022022000 in words is "one hundred one trillion, twelve billion, twenty-two million, twenty-two thousand".