101110111002120 has 1024 divisors, whose sum is σ = 367660258467840. Its totient is φ = 21962907648000.

The previous prime is 101110111002073. The next prime is 101110111002133. The reversal of 101110111002120 is 21200111011101.

It is a super-2 number, since 2×101110111002120² (a number of 29 digits) contains 22 as substring.

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 = 101110111002096 and 101110111002105.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8399936742 + ... + 8399948778.

It is an arithmetic number, because the mean of its divisors is an integer number (359043221160).

Almost surely, 2^{101110111002120} is an apocalyptic number.

101110111002120 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 101110111002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183830129233920).

101110111002120 is an abundant number, since it is smaller than the sum of its proper divisors (266550147465720).

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

101110111002120 is a wasteful number, since it uses less digits than its factorization.

101110111002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12334 (or 12330 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101110111002120 its reverse (21200111011101), we get a palindrome (122310222013221).

The spelling of 101110111002120 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, two thousand, one hundred twenty".