100952319121 has 8 divisors (see below), whose sum is σ = 106894334664. Its totient is φ = 95010708480.

The previous prime is 100952319119. The next prime is 100952319151. The reversal of 100952319121 is 121913259001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15267320721 + 85684998400 = 123561^2 + 292720^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100952319121 - 2¹ = 100952319119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100952319151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521661 + ... + 688501.

It is an arithmetic number, because the mean of its divisors is an integer number (13361791833).

Almost surely, 2^100952319121 is an apocalyptic number.

It is an amenable number.

100952319121 is a deficient number, since it is larger than the sum of its proper divisors (5942015543).

100952319121 is a wasteful number, since it uses less digits than its factorization.

100952319121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202451.

The product of its (nonzero) digits is 4860, while the sum is 34.

The spelling of 100952319121 in words is "one hundred billion, nine hundred fifty-two million, three hundred nineteen thousand, one hundred twenty-one".