100961821696575 has 48 divisors (see below), whose sum is σ = 190779752528640. Its totient is φ = 46151559525120.

The previous prime is 100961821696553. The next prime is 100961821696577. The reversal of 100961821696575 is 575696128169001.

It is a happy number.

It is a Cunningham number, because it is equal to 10047976²-1.

It is not a de Polignac number, because 100961821696575 - 2¹³ = 100961821688383 is a prime.

It is a super-2 number, since 2×100961821696575² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100961821696577) 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, 5023987 + ... + 15071963.

It is an arithmetic number, because the mean of its divisors is an integer number (3974578177680).

Almost surely, 2^{100961821696575} is an apocalyptic number.

100961821696575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100961821696575 is a deficient number, since it is larger than the sum of its proper divisors (89817930832065).

100961821696575 is a wasteful number, since it uses less digits than its factorization.

100961821696575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10067136 (or 10067131 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 66.

The spelling of 100961821696575 in words is "one hundred trillion, nine hundred sixty-one billion, eight hundred twenty-one million, six hundred ninety-six thousand, five hundred seventy-five".