101010322002000 has 160 divisors (see below), whose sum is σ = 325662301635840. Its totient is φ = 26935670361600.

The previous prime is 101010322001999. The next prime is 101010322002089. The reversal of 101010322002000 is 200223010101.

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

It is a congruent number.

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, 749050581 + ... + 749185419.

It is an arithmetic number, because the mean of its divisors is an integer number (2035389385224).

Almost surely, 2^{101010322002000} is an apocalyptic number.

101010322002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010322002000 is an abundant number, since it is smaller than the sum of its proper divisors (224651979633840).

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

101010322002000 is a wasteful number, since it uses less digits than its factorization.

101010322002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259718 (or 259702 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101010322002000 its reverse (200223010101), we get a palindrome (101210545012101).

The spelling of 101010322002000 in words is "one hundred one trillion, ten billion, three hundred twenty-two million, two thousand".