10051100100409 has 27 divisors (see below), whose sum is σ = 10933720866957. Its totient is φ = 9237731725824.

The previous prime is 10051100100319. The next prime is 10051100100523. The reversal of 10051100100409 is 90400100115001.

The square root of 10051100100409 is 3170347.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1400442660409 + 8650657440000 = 1183403^2 + 2941200^2 .

It is not a de Polignac number, because 10051100100409 - 2¹⁹ = 10051099576121 is a prime.

It is a super-2 number, since 2×10051100100409² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10051100100409.

It is not an unprimeable number, because it can be changed into a prime (10051100103409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2317521489 + ... + 2317525825.

Almost surely, 2^{10051100100409} is an apocalyptic number.

10051100100409 is the 3170347-th square number.

10051100100409 is the 1585174-th centered octagonal number.

It is an amenable number.

10051100100409 is a deficient number, since it is larger than the sum of its proper divisors (882620766548).

10051100100409 is an frugal number, since it uses more digits than its factorization.

10051100100409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8794 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 10051100100409 in words is "ten trillion, fifty-one billion, one hundred million, one hundred thousand, four hundred nine".