100011011121100 has 54 divisors (see below), whose sum is σ = 224765531449004. Its totient is φ = 38624942193600.

The previous prime is 100011011121083. The next prime is 100011011121101. The reversal of 100011011121100 is 1121110110001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100011011121101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 594511686 + ... + 594679885.

Almost surely, 2^{100011011121100} is an apocalyptic number.

100011011121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011011121100 is an abundant number, since it is smaller than the sum of its proper divisors (124754520327904).

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

100011011121100 is a wasteful number, since it uses less digits than its factorization.

100011011121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189191643 (or 1189191607 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100011011121100 its reverse (1121110110001), we get a palindrome (101132121231101).

The spelling of 100011011121100 in words is "one hundred trillion, eleven billion, eleven million, one hundred twenty-one thousand, one hundred".