10204264001261 has 96 divisors (see below), whose sum is σ = 11784148992000. Its totient is φ = 8821628766720.

The previous prime is 10204264001249. The next prime is 10204264001273. The reversal of 10204264001261 is 16210046240201.

It is an interprime number because it is at equal distance from previous prime (10204264001249) and next prime (10204264001273).

It is not a de Polignac number, because 10204264001261 - 2¹⁰ = 10204264000237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204264001861) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14192300060 + ... + 14192300778.

It is an arithmetic number, because the mean of its divisors is an integer number (122751552000).

Almost surely, 2^{10204264001261} is an apocalyptic number.

10204264001261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10204264001261 is a deficient number, since it is larger than the sum of its proper divisors (1579884990739).

10204264001261 is a wasteful number, since it uses less digits than its factorization.

10204264001261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 10204264001261 in words is "ten trillion, two hundred four billion, two hundred sixty-four million, one thousand, two hundred sixty-one".