100135100115200 has 216 divisors, whose sum is σ = 248241591417120. Its totient is φ = 39990808166400.

The previous prime is 100135100115191. The next prime is 100135100115227. The reversal of 100135100115200 is 2511001531001.

It is a happy number.

It is a super-2 number, since 2×100135100115200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18104336435 + ... + 18104341965.

Almost surely, 2^{100135100115200} is an apocalyptic number.

100135100115200 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 100135100115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124120795708560).

100135100115200 is an abundant number, since it is smaller than the sum of its proper divisors (148106491301920).

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

100135100115200 is an equidigital number, since it uses as much as digits as its factorization.

100135100115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9513 (or 9494 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 100135100115200 its reverse (2511001531001), we get a palindrome (102646101646201).

The spelling of 100135100115200 in words is "one hundred trillion, one hundred thirty-five billion, one hundred million, one hundred fifteen thousand, two hundred".