100000010033100 has 180 divisors, whose sum is σ = 324316352534328. Its totient is φ = 26653850496000.

The previous prime is 100000010033093. The next prime is 100000010033101. The reversal of 100000010033100 is 1330010000001.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×100000010033100² (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 not an unprimeable number, because it can be changed into a prime (100000010033101) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13889815 + ... + 19822385.

Almost surely, 2^{100000010033100} is an apocalyptic number.

100000010033100 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 100000010033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162158176267164).

100000010033100 is an abundant number, since it is smaller than the sum of its proper divisors (224316342501228).

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

100000010033100 is a wasteful number, since it uses less digits than its factorization.

100000010033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5934678 (or 5934662 counting only the distinct ones).

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

Adding to 100000010033100 its reverse (1330010000001), we get a palindrome (101330020033101).

The spelling of 100000010033100 in words is "one hundred trillion, ten million, thirty-three thousand, one hundred".