100100105600000 has 792 divisors, whose sum is σ = 276019324101360. Its totient is φ = 36254310400000.

The previous prime is 100100105599973. The next prime is 100100105600003. The reversal of 100100105600000 is 6501001001.

It is a super-2 number, since 2×100100105600000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100105600003) 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, 162236799692 + ... + 162236800308.

Almost surely, 2^{100100105600000} is an apocalyptic number.

100100105600000 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 100100105600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138009662050680).

100100105600000 is an abundant number, since it is smaller than the sum of its proper divisors (175919218501360).

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

100100105600000 is an frugal number, since it uses more digits than its factorization.

100100105600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 100100105600000 its reverse (6501001001), we get a palindrome (100106606601001).

The spelling of 100100105600000 in words is "one hundred trillion, one hundred billion, one hundred five million, six hundred thousand".