102001103100000 has 432 divisors, whose sum is σ = 390448027320624. Its totient is φ = 25107960960000.

The previous prime is 102001103099999. The next prime is 102001103100023. The reversal of 102001103100000 is 1301100201.

It is a super-2 number, since 2×102001103100000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7340979 + ... + 16059021.

It is an arithmetic number, because the mean of its divisors is an integer number (903814878057).

Almost surely, 2^{102001103100000} is an apocalyptic number.

102001103100000 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 102001103100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195224013660312).

102001103100000 is an abundant number, since it is smaller than the sum of its proper divisors (288446924220624).

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

102001103100000 is an equidigital number, since it uses as much as digits as its factorization.

102001103100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8718097 (or 8718066 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 102001103100000 its reverse (1301100201), we get a palindrome (102002404200201).

The spelling of 102001103100000 in words is "one hundred two trillion, one billion, one hundred three million, one hundred thousand".