100205663261 has 4 divisors (see below), whose sum is σ = 109315269024. Its totient is φ = 91096057500.

The previous prime is 100205663249. The next prime is 100205663273. The reversal of 100205663261 is 162366502001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (100205663249) and next prime (100205663273).

It is a cyclic number.

It is not a de Polignac number, because 100205663261 - 2³⁴ = 83025794077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100205663221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4554802865 + ... + 4554802886.

It is an arithmetic number, because the mean of its divisors is an integer number (27328817256).

Almost surely, 2^100205663261 is an apocalyptic number.

100205663261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100205663261 is a deficient number, since it is larger than the sum of its proper divisors (9109605763).

100205663261 is an equidigital number, since it uses as much as digits as its factorization.

100205663261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9109605762.

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 100205663261 in words is "one hundred billion, two hundred five million, six hundred sixty-three thousand, two hundred sixty-one".