1000101111100 has 72 divisors (see below), whose sum is σ = 2671039299488. Its totient is φ = 316515513600.

The previous prime is 1000101111013. The next prime is 1000101111167. The reversal of 1000101111100 is 11111010001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54941511 + ... + 54959710.

Almost surely, 2^{1000101111100} is an apocalyptic number.

1000101111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000101111100 is an abundant number, since it is smaller than the sum of its proper divisors (1670938188388).

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

1000101111100 is a wasteful number, since it uses less digits than its factorization.

1000101111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109901255 (or 109901248 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1000101111100 its reverse (11111010001), we get a palindrome (1011212121101).

The spelling of 1000101111100 in words is "one trillion, one hundred one million, one hundred eleven thousand, one hundred".