10022130122000 has 160 divisors (see below), whose sum is σ = 25769156141664. Its totient is φ = 3756840960000.

The previous prime is 10022130121981. The next prime is 10022130122023. The reversal of 10022130122000 is 22103122001.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 5384757378064 + 4637372743936 = 2320508^2 + 2153456^2 .

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, 7289450 + ... + 8554550.

Almost surely, 2^{10022130122000} is an apocalyptic number.

10022130122000 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 10022130122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12884578070832).

10022130122000 is an abundant number, since it is smaller than the sum of its proper divisors (15747026019664).

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

10022130122000 is a wasteful number, since it uses less digits than its factorization.

10022130122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265374 (or 1265358 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10022130122000 its reverse (22103122001), we get a palindrome (10044233244001).

The spelling of 10022130122000 in words is "ten trillion, twenty-two billion, one hundred thirty million, one hundred twenty-two thousand".