1031100021121 has 2 divisors, whose sum is σ = 1031100021122. Its totient is φ = 1031100021120.

The previous prime is 1031100021109. The next prime is 1031100021221. The reversal of 1031100021121 is 1211200011301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 954849482896 + 76250538225 = 977164^2 + 276135^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031100021121 - 2²³ = 1031091632513 is a prime.

It is not a weakly prime, because it can be changed into another prime (1031100021101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515550010560 + 515550010561.

It is an arithmetic number, because the mean of its divisors is an integer number (515550010561).

Almost surely, 2^{1031100021121} is an apocalyptic number.

It is an amenable number.

1031100021121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031100021121 is an equidigital number, since it uses as much as digits as its factorization.

1031100021121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1031100021121 its reverse (1211200011301), we get a palindrome (2242300032422).

The spelling of 1031100021121 in words is "one trillion, thirty-one billion, one hundred million, twenty-one thousand, one hundred twenty-one".