10010100011100 has 576 divisors, whose sum is σ = 34622296031232. Its totient is φ = 2185787520000.

The previous prime is 10010100011063. The next prime is 10010100011221. The reversal of 10010100011100 is 111000101001.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 707770629 + ... + 707784771.

It is an arithmetic number, because the mean of its divisors is an integer number (60108152832).

Almost surely, 2^{10010100011100} is an apocalyptic number.

10010100011100 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 10010100011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17311148015616).

10010100011100 is an abundant number, since it is smaller than the sum of its proper divisors (24612196020132).

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

10010100011100 is a wasteful number, since it uses less digits than its factorization.

10010100011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14386 (or 14379 counting only the distinct ones).

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

Adding to 10010100011100 its reverse (111000101001), we get a palindrome (10121100112101).

The spelling of 10010100011100 in words is "ten trillion, ten billion, one hundred million, eleven thousand, one hundred".