10100049001 has 21 divisors (see below), whose sum is σ = 11823729751. Its totient is φ = 8627638152.

The previous prime is 10100048969. The next prime is 10100049017. The reversal of 10100049001 is 10094000101.

It is a happy number.

The square root of 10100049001 is 100499.

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

It can be written as a sum of positive squares in only one way, i.e., 9556040025 + 544008976 = 97755^2 + 23324^2 .

It is not a de Polignac number, because 10100049001 - 2⁵ = 10100048969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100043001) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 34471011 + ... + 34471303.

Almost surely, 2^10100049001 is an apocalyptic number.

10100049001 is the 100499-th square number.

10100049001 is the 50250-th centered octagonal number.

It is an amenable number.

10100049001 is a deficient number, since it is larger than the sum of its proper divisors (1723680750).

10100049001 is an frugal number, since it uses more digits than its factorization.

10100049001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Multiplying 10100049001 by its sum of digits (16), we get a square (161600784016 = 401996²).

Multiplying 10100049001 by its product of nonzero digits (36), we get a square (363601764036 = 602994²).

Adding to 10100049001 its reverse (10094000101), we get a palindrome (20194049102).

The spelling of 10100049001 in words is "ten billion, one hundred million, forty-nine thousand, one".