100001011001100 has 144 divisors (see below), whose sum is σ = 318535331600640. Its totient is φ = 24020259436800.

The previous prime is 100001011001077. The next prime is 100001011001123. The reversal of 100001011001100 is 1100110100001.

It is an interprime number because it is at equal distance from previous prime (100001011001077) and next prime (100001011001123).

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138646432 + ... + 139365831.

Almost surely, 2^{100001011001100} is an apocalyptic number.

100001011001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001011001100 is an abundant number, since it is smaller than the sum of its proper divisors (218534320599540).

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

100001011001100 is a wasteful number, since it uses less digits than its factorization.

100001011001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278012400 (or 278012393 counting only the distinct ones).

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

Adding to 100001011001100 its reverse (1100110100001), we get a palindrome (101101121101101).

The spelling of 100001011001100 in words is "one hundred trillion, one billion, eleven million, one thousand, one hundred".