100122130000000 has 128 divisors (see below), whose sum is σ = 249326956447920. Its totient is φ = 40048848000000.

The previous prime is 100122129999893. The next prime is 100122130000007. The reversal of 100122130000000 is 31221001.

It can be written as a sum of positive squares in 8 ways, for example, as 90093659765824 + 10028470234176 = 9491768^2 + 3166776^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100122130000007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4993894 + ... + 15006106.

Almost surely, 2^{100122130000000} is an apocalyptic number.

100122130000000 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 100122130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124663478223960).

100122130000000 is an abundant number, since it is smaller than the sum of its proper divisors (149204826447920).

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

100122130000000 is an frugal number, since it uses more digits than its factorization.

100122130000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10012262 (or 10012220 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100122130000000 its reverse (31221001), we get a palindrome (100122161221001).

The spelling of 100122130000000 in words is "one hundred trillion, one hundred twenty-two billion, one hundred thirty million", and thus it is an aban number.