110100010102120 has 32 divisors (see below), whose sum is σ = 247725601252200. Its totient is φ = 44039901192448.

The previous prime is 110100010102111. The next prime is 110100010102133. The reversal of 110100010102120 is 21201010001011.

It can be written as a sum of positive squares in 4 ways, for example, as 84065463113284 + 26034546988836 = 9168722^2 + 5102406^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 110100010102097 and 110100010102106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15469002 + ... + 21435718.

Almost surely, 2^{110100010102120} is an apocalyptic number.

110100010102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110100010102120 is an abundant number, since it is smaller than the sum of its proper divisors (137625591150080).

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

110100010102120 is a wasteful number, since it uses less digits than its factorization.

110100010102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6428037 (or 6428033 counting only the distinct ones).

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

Adding to 110100010102120 its reverse (21201010001011), we get a palindrome (131301020103131).

The spelling of 110100010102120 in words is "one hundred ten trillion, one hundred billion, ten million, one hundred two thousand, one hundred twenty".