110120102100100 has 18 divisors (see below), whose sum is σ = 238960621557434. Its totient is φ = 44048040840000.

The previous prime is 110120102100083. The next prime is 110120102100119. The reversal of 110120102100100 is 1001201021011.

It can be written as a sum of positive squares in 3 ways, for example, as 1443688759296 + 108676413340804 = 1201536^2 + 10424798^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 550600510401 + ... + 550600510600.

Almost surely, 2^{110120102100100} is an apocalyptic number.

110120102100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110120102100100 is an abundant number, since it is smaller than the sum of its proper divisors (128840519457334).

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

110120102100100 is a wasteful number, since it uses less digits than its factorization.

110120102100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101201021015 (or 1101201021008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110120102100100 its reverse (1001201021011), we get a palindrome (111121303121111).

The spelling of 110120102100100 in words is "one hundred ten trillion, one hundred twenty billion, one hundred two million, one hundred thousand, one hundred".