101955852541 has 4 divisors (see below), whose sum is σ = 101961715072. Its totient is φ = 101949990012.

The previous prime is 101955852521. The next prime is 101955852563. The reversal of 101955852541 is 145258559101.

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, and also an emirpimes, since its reverse is a distinct semiprime: 145258559101 = 31 ⋅4685759971.

It is a cyclic number.

It is not a de Polignac number, because 101955852541 - 2⁹ = 101955852029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101955852491 and 101955852500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101955852521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2905101 + ... + 2939986.

It is an arithmetic number, because the mean of its divisors is an integer number (25490428768).

Almost surely, 2^101955852541 is an apocalyptic number.

It is an amenable number.

101955852541 is a deficient number, since it is larger than the sum of its proper divisors (5862531).

101955852541 is an equidigital number, since it uses as much as digits as its factorization.

101955852541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5862530.

The product of its (nonzero) digits is 360000, while the sum is 46.

The spelling of 101955852541 in words is "one hundred one billion, nine hundred fifty-five million, eight hundred fifty-two thousand, five hundred forty-one".