10100110001100 has 216 divisors, whose sum is σ = 35783247850560. Its totient is φ = 2187091428480.

The previous prime is 10100110001099. The next prime is 10100110001101. The reversal of 10100110001100 is 110001100101.

10100110001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10100110001099) and next prime (10100110001101).

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 not an unprimeable number, because it can be changed into a prime (10100110001101) 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, 17801814 + ... + 18360413.

Almost surely, 2^{10100110001100} is an apocalyptic number.

10100110001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100110001100 is an abundant number, since it is smaller than the sum of its proper divisors (25683137849460).

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

10100110001100 is a wasteful number, since it uses less digits than its factorization.

10100110001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36162277 (or 36162263 counting only the distinct ones).

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

Adding to 10100110001100 its reverse (110001100101), we get a palindrome (10210111101201).

The spelling of 10100110001100 in words is "ten trillion, one hundred billion, one hundred ten million, one thousand, one hundred".