110102101020120 has 256 divisors, whose sum is σ = 376013338444800. Its totient is φ = 25530074071040.

The previous prime is 110102101020049. The next prime is 110102101020137. The reversal of 110102101020120 is 21020101201011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110102101020096 and 110102101020105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1824271864 + ... + 1824332216.

It is an arithmetic number, because the mean of its divisors is an integer number (1468802103300).

Almost surely, 2^{110102101020120} is an apocalyptic number.

110102101020120 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 110102101020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188006669222400).

110102101020120 is an abundant number, since it is smaller than the sum of its proper divisors (265911237424680).

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

110102101020120 is a wasteful number, since it uses less digits than its factorization.

110102101020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120490 (or 120486 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110102101020120 its reverse (21020101201011), we get a palindrome (131122202221131).

The spelling of 110102101020120 in words is "one hundred ten trillion, one hundred two billion, one hundred one million, twenty thousand, one hundred twenty".