10000102122000 has 240 divisors, whose sum is σ = 35319467467440. Its totient is φ = 2636730624000.

The previous prime is 10000102121993. The next prime is 10000102122007. The reversal of 10000102122000 is 22120100001.

It is an interprime number because it is at equal distance from previous prime (10000102121993) and next prime (10000102122007).

It can be written as a sum of positive squares in 8 ways, for example, as 6698075268096 + 3302026853904 = 2588064^2 + 1817148^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10000102122007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1519131 + ... + 4723130.

It is an arithmetic number, because the mean of its divisors is an integer number (147164447781).

Almost surely, 2^{10000102122000} is an apocalyptic number.

10000102122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000102122000 is an abundant number, since it is smaller than the sum of its proper divisors (25319365345440).

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

10000102122000 is a wasteful number, since it uses less digits than its factorization.

10000102122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6242379 (or 6242360 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10000102122000 its reverse (22120100001), we get a palindrome (10022222222001).

The spelling of 10000102122000 in words is "ten trillion, one hundred two million, one hundred twenty-two thousand".