10034122321000 has 32 divisors (see below), whose sum is σ = 23479846233480. Its totient is φ = 4013648928000.

The previous prime is 10034122320997. The next prime is 10034122321021. The reversal of 10034122321000 is 12322143001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 648318053124 + 9385804267876 = 805182^2 + 3063626^2 .

It is a super-2 number, since 2×10034122321000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5017060161 + ... + 5017062160.

Almost surely, 2^{10034122321000} is an apocalyptic number.

10034122321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10034122321000 is an abundant number, since it is smaller than the sum of its proper divisors (13445723912480).

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

10034122321000 is a wasteful number, since it uses less digits than its factorization.

10034122321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10034122342 (or 10034122328 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10034122321000 its reverse (12322143001), we get a palindrome (10046444464001).

The spelling of 10034122321000 in words is "ten trillion, thirty-four billion, one hundred twenty-two million, three hundred twenty-one thousand".