100121201011031 has 2 divisors, whose sum is σ = 100121201011032. Its totient is φ = 100121201011030.

The previous prime is 100121201010991. The next prime is 100121201011043. The reversal of 100121201011031 is 130110102121001.

It is a strong prime.

It is an emirp because it is prime and its reverse (130110102121001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100121201011031 - 2¹⁸ = 100121200748887 is a prime.

It is a super-2 number, since 2×100121201011031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100121201010997 and 100121201011015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121201011081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060600505515 + 50060600505516.

It is an arithmetic number, because the mean of its divisors is an integer number (50060600505516).

Almost surely, 2^{100121201011031} is an apocalyptic number.

100121201011031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121201011031 is an equidigital number, since it uses as much as digits as its factorization.

100121201011031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 100121201011031 its reverse (130110102121001), we get a palindrome (230231303132032).

The spelling of 100121201011031 in words is "one hundred trillion, one hundred twenty-one billion, two hundred one million, eleven thousand, thirty-one".