100013201100000 has 432 divisors, whose sum is σ = 357279959181600. Its totient is φ = 26536118400000.

The previous prime is 100013201099989. The next prime is 100013201100011. The reversal of 100013201100000 is 1102310001.

It is an interprime number because it is at equal distance from previous prime (100013201099989) and next prime (100013201100011).

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, 178820790 + ... + 179379210.

It is an arithmetic number, because the mean of its divisors is an integer number (827036942550).

Almost surely, 2^{100013201100000} is an apocalyptic number.

100013201100000 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 100013201100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178639979590800).

100013201100000 is an abundant number, since it is smaller than the sum of its proper divisors (257266758081600).

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

100013201100000 is an equidigital number, since it uses as much as digits as its factorization.

100013201100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558661 (or 558630 counting only the distinct ones).

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

Adding to 100013201100000 its reverse (1102310001), we get a palindrome (100014303410001).

The spelling of 100013201100000 in words is "one hundred trillion, thirteen billion, two hundred one million, one hundred thousand".