101012101022000 has 160 divisors (see below), whose sum is σ = 281177247611520. Its totient is φ = 34379926118400.

The previous prime is 101012101021927. The next prime is 101012101022029. The reversal of 101012101022000 is 220101210101.

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, 24414665 + ... + 28250664.

It is an arithmetic number, because the mean of its divisors is an integer number (1757357797572).

Almost surely, 2^{101012101022000} is an apocalyptic number.

101012101022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012101022000 is an abundant number, since it is smaller than the sum of its proper divisors (180165146589520).

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

101012101022000 is a wasteful number, since it uses less digits than its factorization.

101012101022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52665496 (or 52665480 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101012101022000 its reverse (220101210101), we get a palindrome (101232202232101).

The spelling of 101012101022000 in words is "one hundred one trillion, twelve billion, one hundred one million, twenty-two thousand".