101020102010000 has 50 divisors (see below), whose sum is σ = 244579769000622. Its totient is φ = 40408040800000.

The previous prime is 101020102009927. The next prime is 101020102010041. The reversal of 101020102010000 is 10201020101.

It can be written as a sum of positive squares in 5 ways, for example, as 23644645355776 + 77375456654224 = 4862576^2 + 8796332^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×101020102010000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101020102010000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5050995101 + ... + 5051015100.

Almost surely, 2^{101020102010000} is an apocalyptic number.

101020102010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020102010000 is an abundant number, since it is smaller than the sum of its proper divisors (143559666990622).

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

101020102010000 is an equidigital number, since it uses as much as digits as its factorization.

101020102010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10102010229 (or 10102010208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101020102010000 its reverse (10201020101), we get a palindrome (101030303030101).

The spelling of 101020102010000 in words is "one hundred one trillion, twenty billion, one hundred two million, ten thousand".