31021021010101 has 2 divisors, whose sum is σ = 31021021010102. Its totient is φ = 31021021010100.

The previous prime is 31021021010027. The next prime is 31021021010117. The reversal of 31021021010101 is 10101012012013.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30556407006225 + 464614003876 = 5527785^2 + 681626^2 .

It is a cyclic number.

It is not a de Polignac number, because 31021021010101 - 2¹³ = 31021021001909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31021021010171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15510510505050 + 15510510505051.

It is an arithmetic number, because the mean of its divisors is an integer number (15510510505051).

Almost surely, 2^{31021021010101} is an apocalyptic number.

It is an amenable number.

31021021010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31021021010101 is an equidigital number, since it uses as much as digits as its factorization.

31021021010101 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 31021021010101 its reverse (10101012012013), we get a palindrome (41122033022114).

The spelling of 31021021010101 in words is "thirty-one trillion, twenty-one billion, twenty-one million, ten thousand, one hundred one".