10251101206340 has 48 divisors (see below), whose sum is σ = 21535401825840. Its totient is φ = 4098900049920.

The previous prime is 10251101206289. The next prime is 10251101206361. The reversal of 10251101206340 is 4360210115201.

It can be written as a sum of positive squares in 8 ways, for example, as 7878620244544 + 2372480961796 = 2806888^2 + 1540286^2 .

It is a super-3 number, since 3×10251101206340³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1186328420 + ... + 1186337060.

It is an arithmetic number, because the mean of its divisors is an integer number (448654204705).

Almost surely, 2^{10251101206340} is an apocalyptic number.

10251101206340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10251101206340 is an abundant number, since it is smaller than the sum of its proper divisors (11284300619500).

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

10251101206340 is a wasteful number, since it uses less digits than its factorization.

10251101206340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24072 (or 24070 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The spelling of 10251101206340 in words is "ten trillion, two hundred fifty-one billion, one hundred one million, two hundred six thousand, three hundred forty".