101111001000100 has 72 divisors (see below), whose sum is σ = 270044150387648. Its totient is φ = 31999965148800.

The previous prime is 101111001000041. The next prime is 101111001000101. The reversal of 101111001000100 is 1000100111101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (101111001000101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5555540406 + ... + 5555558605.

Almost surely, 2^{101111001000100} is an apocalyptic number.

101111001000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111001000100 is an abundant number, since it is smaller than the sum of its proper divisors (168933149387548).

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

101111001000100 is a wasteful number, since it uses less digits than its factorization.

101111001000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111099045 (or 11111099038 counting only the distinct ones).

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

Adding to 101111001000100 its reverse (1000100111101), we get a palindrome (102111101111201).

The spelling of 101111001000100 in words is "one hundred one trillion, one hundred eleven billion, one million, one hundred", and thus it is an aban number.