100101221217931 has 2 divisors, whose sum is σ = 100101221217932. Its totient is φ = 100101221217930.

The previous prime is 100101221217913. The next prime is 100101221217961. The reversal of 100101221217931 is 139712122101001.

Together with previous prime (100101221217913) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101221217931 is a prime.

It is a super-2 number, since 2×100101221217931² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100101221217893 and 100101221217902.

It is not a weakly prime, because it can be changed into another prime (100101221217961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050610608965 + 50050610608966.

It is an arithmetic number, because the mean of its divisors is an integer number (50050610608966).

Almost surely, 2^{100101221217931} is an apocalyptic number.

100101221217931 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101221217931 is an equidigital number, since it uses as much as digits as its factorization.

100101221217931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 31.

Adding to 100101221217931 its reverse (139712122101001), we get a palindrome (239813343318932).

The spelling of 100101221217931 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, two hundred seventeen thousand, nine hundred thirty-one".