100121012211931 has 2 divisors, whose sum is σ = 100121012211932. Its totient is φ = 100121012211930.

The previous prime is 100121012211929. The next prime is 100121012212037. The reversal of 100121012211931 is 139112210121001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100121012211931 - 2¹ = 100121012211929 is a prime.

It is a super-2 number, since 2×100121012211931² (a number of 29 digits) contains 22 as substring.

Together with 100121012211929, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100121012211896 and 100121012211905.

It is not a weakly prime, because it can be changed into another prime (100121012211901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060506105965 + 50060506105966.

It is an arithmetic number, because the mean of its divisors is an integer number (50060506105966).

Almost surely, 2^{100121012211931} is an apocalyptic number.

100121012211931 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121012211931 is an equidigital number, since it uses as much as digits as its factorization.

100121012211931 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 25.

Adding to 100121012211931 its reverse (139112210121001), we get a palindrome (239233222332932).

The spelling of 100121012211931 in words is "one hundred trillion, one hundred twenty-one billion, twelve million, two hundred eleven thousand, nine hundred thirty-one".