101101210122000 has 160 divisors (see below), whose sum is σ = 355582147250304. Its totient is φ = 24509384256000.

The previous prime is 101101210121981. The next prime is 101101210122037. The reversal of 101101210122000 is 221012101101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765852259 + ... + 765984258.

Almost surely, 2^{101101210122000} is an apocalyptic number.

101101210122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101210122000 is an abundant number, since it is smaller than the sum of its proper divisors (254480937128304).

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

101101210122000 is a wasteful number, since it uses less digits than its factorization.

101101210122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531836554 (or 1531836538 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101101210122000 its reverse (221012101101), we get a palindrome (101322222223101).

The spelling of 101101210122000 in words is "one hundred one trillion, one hundred one billion, two hundred ten million, one hundred twenty-two thousand".