100101322121 has 8 divisors (see below), whose sum is σ = 101142015240. Its totient is φ = 99060807168.

The previous prime is 100101322109. The next prime is 100101322127. The reversal of 100101322121 is 121223101001.

It can be written as a sum of positive squares in 4 ways, for example, as 48053462521 + 52047859600 = 219211^2 + 228140^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101322121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101322096 and 100101322105.

It is not an unprimeable number, because it can be changed into a prime (100101322127) 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, 1292135 + ... + 1367411.

It is an arithmetic number, because the mean of its divisors is an integer number (12642751905).

Almost surely, 2^100101322121 is an apocalyptic number.

It is an amenable number.

100101322121 is a deficient number, since it is larger than the sum of its proper divisors (1040693119).

100101322121 is an equidigital number, since it uses as much as digits as its factorization.

100101322121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89083.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100101322121 its reverse (121223101001), we get a palindrome (221324423122).

The spelling of 100101322121 in words is "one hundred billion, one hundred one million, three hundred twenty-two thousand, one hundred twenty-one".