101000000001100 has 18 divisors (see below), whose sum is σ = 219170000002604. Its totient is φ = 40400000000400.

The previous prime is 101000000001059. The next prime is 101000000001107. The reversal of 101000000001100 is 1100000000101.

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 101000000001100.

It is not an unprimeable number, because it can be changed into a prime (101000000001107) 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, 504999999906 + ... + 505000000105.

Almost surely, 2^{101000000001100} is an apocalyptic number.

101000000001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000000001100 is an abundant number, since it is smaller than the sum of its proper divisors (118170000001504).

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

101000000001100 is a wasteful number, since it uses less digits than its factorization.

101000000001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010000000025 (or 1010000000018 counting only the distinct ones).

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

Adding to 101000000001100 its reverse (1100000000101), we get a palindrome (102100000001201).

Subtracting from 101000000001100 its reverse (1100000000101), we obtain a palindrome (99900000000999).

It can be divided in two parts, 101000000001 and 100, that added together give a palindrome (101000000101).

The spelling of 101000000001100 in words is "one hundred one trillion, one thousand, one hundred".