120102110111000 has 256 divisors, whose sum is σ = 287695032768000. Its totient is φ = 46915189440000.

The previous prime is 120102110110967. The next prime is 120102110111023. The reversal of 120102110111000 is 111011201021.

It is a super-2 number, since 2×120102110111000² (a number of 29 digits) contains 22 as substring.

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, 7195612655 + ... + 7195629345.

It is an arithmetic number, because the mean of its divisors is an integer number (1123808721750).

Almost surely, 2^{120102110111000} is an apocalyptic number.

120102110111000 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 120102110111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143847516384000).

120102110111000 is an abundant number, since it is smaller than the sum of its proper divisors (167592922657000).

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

120102110111000 is a wasteful number, since it uses less digits than its factorization.

120102110111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17611 (or 17597 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 120102110111000 its reverse (111011201021), we get a palindrome (120213121312021).

The spelling of 120102110111000 in words is "one hundred twenty trillion, one hundred two billion, one hundred ten million, one hundred eleven thousand".