10000000901 has 16 divisors (see below), whose sum is σ = 11358398016. Its totient is φ = 8723760000.

The previous prime is 10000000889. The next prime is 10000000949. The reversal of 10000000901 is 10900000001.

It is a cyclic number.

It is not a de Polignac number, because 10000000901 - 2²⁶ = 9932892037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000000991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154235 + ... + 209256.

It is an arithmetic number, because the mean of its divisors is an integer number (709899876).

Almost surely, 2^10000000901 is an apocalyptic number.

10000000901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000000901 is a deficient number, since it is larger than the sum of its proper divisors (1358397115).

10000000901 is a wasteful number, since it uses less digits than its factorization.

10000000901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363604.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 10000000901 its reverse (10900000001), we get a palindrome (20900000902).

The spelling of 10000000901 in words is "ten billion, nine hundred one", and thus it is an aban number.