101010002122000 has 80 divisors (see below), whose sum is σ = 244245154488192. Its totient is φ = 40403509641600.

The previous prime is 101010002121971. The next prime is 101010002122027. The reversal of 101010002122000 is 221200010101.

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 (10).

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, 195435919 + ... + 195952081.

Almost surely, 2^{101010002122000} is an apocalyptic number.

101010002122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010002122000 is an abundant number, since it is smaller than the sum of its proper divisors (143235152366192).

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

101010002122000 is an equidigital number, since it uses as much as digits as its factorization.

101010002122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614033 (or 614017 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101010002122000 its reverse (221200010101), we get a palindrome (101231202132101).

The spelling of 101010002122000 in words is "one hundred one trillion, ten billion, two million, one hundred twenty-two thousand".