10100001011100 has 1152 divisors, whose sum is σ = 40421078218752. Its totient is φ = 1879079731200.

The previous prime is 10100001011069. The next prime is 10100001011123. The reversal of 10100001011100 is 111010000101.

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 383 ways as a sum of consecutive naturals, for example, 4144439082 + ... + 4144441518.

Almost surely, 2^{10100001011100} is an apocalyptic number.

10100001011100 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 10100001011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20210539109376).

10100001011100 is an abundant number, since it is smaller than the sum of its proper divisors (30321077207652).

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

10100001011100 is a wasteful number, since it uses less digits than its factorization.

10100001011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2888 counting only the distinct ones).

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

Adding to 10100001011100 its reverse (111010000101), we get a palindrome (10211011011201).

The spelling of 10100001011100 in words is "ten trillion, one hundred billion, one million, eleven thousand, one hundred".