101100102000 has 320 divisors, whose sum is σ = 350420428800. Its totient is φ = 24996326400.

The previous prime is 101100101989. The next prime is 101100102017. The reversal of 101100102000 is 201001101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 101100102000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5348566 + ... + 5367434.

It is an arithmetic number, because the mean of its divisors is an integer number (1095063840).

Almost surely, 2^101100102000 is an apocalyptic number.

101100102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175210214400).

101100102000 is an abundant number, since it is smaller than the sum of its proper divisors (249320326800).

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

101100102000 is a wasteful number, since it uses less digits than its factorization.

101100102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18961 (or 18945 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101100102000 its reverse (201001101), we get a palindrome (101301103101).

The spelling of 101100102000 in words is "one hundred one billion, one hundred million, one hundred two thousand".