101590229961 has 48 divisors (see below), whose sum is σ = 161769666240. Its totient is φ = 60921360000.

The previous prime is 101590229947. The next prime is 101590229969. The reversal of 101590229961 is 169922095101.

It is not a de Polignac number, because 101590229961 - 2¹⁵ = 101590197193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101590229969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26585431 + ... + 26589251.

It is an arithmetic number, because the mean of its divisors is an integer number (3370201380).

Almost surely, 2^101590229961 is an apocalyptic number.

101590229961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101590229961 is a deficient number, since it is larger than the sum of its proper divisors (60179436279).

101590229961 is a wasteful number, since it uses less digits than its factorization.

101590229961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6598 (or 6595 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 101590229961 in words is "one hundred one billion, five hundred ninety million, two hundred twenty-nine thousand, nine hundred sixty-one".