100011102100 has 216 divisors, whose sum is σ = 272543889408. Its totient is φ = 31574188800.

The previous prime is 100011102091. The next prime is 100011102143. The reversal of 100011102100 is 1201110001.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29491405 + ... + 29494795.

Almost surely, 2^100011102100 is an apocalyptic number.

100011102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136271944704).

100011102100 is an abundant number, since it is smaller than the sum of its proper divisors (172532787308).

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

100011102100 is a wasteful number, since it uses less digits than its factorization.

100011102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100011102100 its reverse (1201110001), we get a palindrome (101212212101).

The spelling of 100011102100 in words is "one hundred billion, eleven million, one hundred two thousand, one hundred".