102110101120 has 128 divisors (see below), whose sum is σ = 251955748800. Its totient is φ = 39551508480.

The previous prime is 102110101103. The next prime is 102110101147. The reversal of 102110101120 is 21101011201.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 102110101097 and 102110101106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2509740 + ... + 2550100.

Almost surely, 2^102110101120 is an apocalyptic number.

102110101120 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 102110101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125977874400).

102110101120 is an abundant number, since it is smaller than the sum of its proper divisors (149845647680).

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

102110101120 is an equidigital number, since it uses as much as digits as its factorization.

102110101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40506 (or 40494 counting only the distinct ones).

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

Adding to 102110101120 its reverse (21101011201), we get a palindrome (123211112321).

The spelling of 102110101120 in words is "one hundred two billion, one hundred ten million, one hundred one thousand, one hundred twenty".