10100000001100 has 18 divisors (see below), whose sum is σ = 21917000002604. Its totient is φ = 4040000000400.

The previous prime is 10100000001071. The next prime is 10100000001101. The reversal of 10100000001100 is 110000000101.

10100000001100 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 (4).

It is a self number, because there is not a number n which added to its sum of digits gives 10100000001100.

It is not an unprimeable number, because it can be changed into a prime (10100000001101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50499999906 + ... + 50500000105.

Almost surely, 2^{10100000001100} is an apocalyptic number.

10100000001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100000001100 is an abundant number, since it is smaller than the sum of its proper divisors (11817000001504).

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

10100000001100 is a wasteful number, since it uses less digits than its factorization.

10100000001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101000000025 (or 101000000018 counting only the distinct ones).

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

Adding to 10100000001100 its reverse (110000000101), we get a palindrome (10210000001201).

Subtracting from 10100000001100 its reverse (110000000101), we obtain a palindrome (9990000000999).

It can be divided in two parts, 10100000001 and 100, that added together give a palindrome (10100000101).

The spelling of 10100000001100 in words is "ten trillion, one hundred billion, one thousand, one hundred".