101111101100100 has 288 divisors, whose sum is σ = 400065804983040. Its totient is φ = 21333331169280.

The previous prime is 101111101100099. The next prime is 101111101100117. The reversal of 101111101100100 is 1001101111101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205515597 + ... + 206006996.

Almost surely, 2^{101111101100100} is an apocalyptic number.

101111101100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111101100100 is an abundant number, since it is smaller than the sum of its proper divisors (298954703882940).

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

101111101100100 is a wasteful number, since it uses less digits than its factorization.

101111101100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411522636 (or 411522623 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101111101100100 its reverse (1001101111101), we get a palindrome (102112202211201).

The spelling of 101111101100100 in words is "one hundred one trillion, one hundred eleven billion, one hundred one million, one hundred thousand, one hundred".