10100110000000 has 384 divisors, whose sum is σ = 26013818170080. Its totient is φ = 3906000000000.

The previous prime is 10100109999989. The next prime is 10100110000037. The reversal of 10100110000000 is 1100101.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9609999475 + ... + 9610000525.

Almost surely, 2^{10100110000000} is an apocalyptic number.

10100110000000 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 10100110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13006909085040).

10100110000000 is an abundant number, since it is smaller than the sum of its proper divisors (15913708170080).

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

10100110000000 is an frugal number, since it uses more digits than its factorization.

10100110000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10100110000000 its reverse (1100101), we get a palindrome (10100111100101).

The spelling of 10100110000000 in words is "ten trillion, one hundred billion, one hundred ten million", and thus it is an aban number.