10102110210120 has 128 divisors (see below), whose sum is σ = 30509868810240. Its totient is φ = 2675807097600.

The previous prime is 10102110210107. The next prime is 10102110210133. The reversal of 10102110210120 is 2101201120101.

It is an interprime number because it is at equal distance from previous prime (10102110210107) and next prime (10102110210133).

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 = 10102110210096 and 10102110210105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276547297 + ... + 276583823.

It is an arithmetic number, because the mean of its divisors is an integer number (238358350080).

Almost surely, 2^{10102110210120} is an apocalyptic number.

10102110210120 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 10102110210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15254934405120).

10102110210120 is an abundant number, since it is smaller than the sum of its proper divisors (20407758600120).

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

10102110210120 is a wasteful number, since it uses less digits than its factorization.

10102110210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51955 (or 51951 counting only the distinct ones).

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

Adding to 10102110210120 its reverse (2101201120101), we get a palindrome (12203311330221).

The spelling of 10102110210120 in words is "ten trillion, one hundred two billion, one hundred ten million, two hundred ten thousand, one hundred twenty".