10202204130120 has 384 divisors, whose sum is σ = 34539460581600. Its totient is φ = 2609447436288.

The previous prime is 10202204130091. The next prime is 10202204130149. The reversal of 10202204130120 is 2103140220201.

It is a happy number.

10202204130120 is a `hidden beast` number, since 1 + 0 + 20 + 220 + 413 + 0 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10202204130091) and next prime (10202204130149).

It can be written as a sum of positive squares in 16 ways, for example, as 2843061355044 + 7359142775076 = 1686138^2 + 2712774^2 .

It is a super-2 number, since 2×10202204130120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10202204130093 and 10202204130102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 399493992 + ... + 399519528.

Almost surely, 2^{10202204130120} is an apocalyptic number.

10202204130120 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 10202204130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17269730290800).

10202204130120 is an abundant number, since it is smaller than the sum of its proper divisors (24337256451480).

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

10202204130120 is a wasteful number, since it uses less digits than its factorization.

10202204130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26017 (or 26010 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10202204130120 its reverse (2103140220201), we get a palindrome (12305344350321).

The spelling of 10202204130120 in words is "ten trillion, two hundred two billion, two hundred four million, one hundred thirty thousand, one hundred twenty".