100011230100000 has 432 divisors, whose sum is σ = 356258514011400. Its totient is φ = 26611699200000.

The previous prime is 100011230099959. The next prime is 100011230100007. The reversal of 100011230100000 is 1032110001.

It can be written as a sum of positive squares in 12 ways, for example, as 84784096477584 + 15227133622416 = 9207828^2 + 3902196^2 .

It is a super-2 number, since 2×100011230100000² (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 (100011230100007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 414779476 + ... + 415020524.

Almost surely, 2^{100011230100000} is an apocalyptic number.

100011230100000 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 100011230100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178129257005700).

100011230100000 is an abundant number, since it is smaller than the sum of its proper divisors (256247283911400).

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

100011230100000 is an equidigital number, since it uses as much as digits as its factorization.

100011230100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241551 (or 241520 counting only the distinct ones).

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

Adding to 100011230100000 its reverse (1032110001), we get a palindrome (100012262210001).

The spelling of 100011230100000 in words is "one hundred trillion, eleven billion, two hundred thirty million, one hundred thousand".