10102102100120 has 128 divisors (see below), whose sum is σ = 24765154099200. Its totient is φ = 3696992656896.

The previous prime is 10102102100023. The next prime is 10102102100137. The reversal of 10102102100120 is 2100120120101.

It is a super-3 number, since 3×10102102100120³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

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, 1085417 + ... + 4624103.

It is an arithmetic number, because the mean of its divisors is an integer number (193477766400).

Almost surely, 2^{10102102100120} is an apocalyptic number.

10102102100120 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 10102102100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12382577049600).

10102102100120 is an abundant number, since it is smaller than the sum of its proper divisors (14663051999080).

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

10102102100120 is a wasteful number, since it uses less digits than its factorization.

10102102100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538857 (or 3538853 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10102102100120 its reverse (2100120120101), we get a palindrome (12202222220221).

The spelling of 10102102100120 in words is "ten trillion, one hundred two billion, one hundred two million, one hundred thousand, one hundred twenty".