10122332202000 has 960 divisors, whose sum is σ = 39772283428800. Its totient is φ = 2386531123200.

The previous prime is 10122332201981. The next prime is 10122332202049. The reversal of 10122332202000 is 20223322101.

10122332202000 is a `hidden beast` number, since 1 + 0 + 12 + 233 + 220 + 200 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 5031659114496 + 5090673087504 = 2243136^2 + 2256252^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 328322586 + ... + 328353414.

It is an arithmetic number, because the mean of its divisors is an integer number (41429461905).

Almost surely, 2^{10122332202000} is an apocalyptic number.

10122332202000 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 10122332202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19886141714400).

10122332202000 is an abundant number, since it is smaller than the sum of its proper divisors (29649951226800).

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

10122332202000 is a wasteful number, since it uses less digits than its factorization.

10122332202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30941 (or 30922 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10122332202000 its reverse (20223322101), we get a palindrome (10142555524101).

The spelling of 10122332202000 in words is "ten trillion, one hundred twenty-two billion, three hundred thirty-two million, two hundred two thousand".