102110120010 has 96 divisors (see below), whose sum is σ = 268138542672. Its totient is φ = 26958597120.

The previous prime is 102110119997. The next prime is 102110120039. The reversal of 102110120010 is 10021011201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 47125028889 + 54985091121 = 217083^2 + 234489^2 .

It is a super-3 number, since 3×102110120010³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102110119974 and 102110120001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3957672 + ... + 3983388.

Almost surely, 2^102110120010 is an apocalyptic number.

102110120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102110120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134069271336).

102110120010 is an abundant number, since it is smaller than the sum of its proper divisors (166028422662).

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

102110120010 is a wasteful number, since it uses less digits than its factorization.

102110120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26168 (or 26165 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102110120010 its reverse (10021011201), we get a palindrome (112131131211).

The spelling of 102110120010 in words is "one hundred two billion, one hundred ten million, one hundred twenty thousand, ten".