10101110000100 has 288 divisors, whose sum is σ = 34158747033600. Its totient is φ = 2257025472000.

The previous prime is 10101110000083. The next prime is 10101110000221. The reversal of 10101110000100 is 100001110101.

10101110000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16454481 + ... + 17057319.

Almost surely, 2^{10101110000100} is an apocalyptic number.

10101110000100 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 10101110000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17079373516800).

10101110000100 is an abundant number, since it is smaller than the sum of its proper divisors (24057637033500).

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

10101110000100 is a wasteful number, since it uses less digits than its factorization.

10101110000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603043 (or 603036 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10101110000100 its reverse (100001110101), we get a palindrome (10201111110201).

The spelling of 10101110000100 in words is "ten trillion, one hundred one billion, one hundred ten million, one hundred", and thus it is an aban number.