110000002102120 has 64 divisors (see below), whose sum is σ = 268079151629520. Its totient is φ = 40380614344704.

The previous prime is 110000002102097. The next prime is 110000002102121. The reversal of 110000002102120 is 21201200000011.

It can be written as a sum of positive squares in 8 ways, for example, as 36362081889604 + 73637920212516 = 6030098^2 + 8581254^2 .

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 = 110000002102097 and 110000002102106.

It is not an unprimeable number, because it can be changed into a prime (110000002102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611292889 + ... + 611472808.

Almost surely, 2^{110000002102120} is an apocalyptic number.

110000002102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110000002102120 is an abundant number, since it is smaller than the sum of its proper divisors (158079149527400).

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

110000002102120 is a wasteful number, since it uses less digits than its factorization.

110000002102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222765894 (or 1222765890 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110000002102120 its reverse (21201200000011), we get a palindrome (131201202102131).

The spelling of 110000002102120 in words is "one hundred ten trillion, two million, one hundred two thousand, one hundred twenty".