101012131021 has 2 divisors, whose sum is σ = 101012131022. Its totient is φ = 101012131020.

The previous prime is 101012131007. The next prime is 101012131027. The reversal of 101012131021 is 120131210101.

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., 83527358121 + 17484772900 = 289011^2 + 132230^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012131021 - 2¹³ = 101012122829 is a prime.

It is a super-2 number, since 2×101012131021² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101012130992 and 101012131010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012131027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506065510 + 50506065511.

It is an arithmetic number, because the mean of its divisors is an integer number (50506065511).

Almost surely, 2^101012131021 is an apocalyptic number.

It is an amenable number.

101012131021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012131021 is an equidigital number, since it uses as much as digits as its factorization.

101012131021 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 101012131021 its reverse (120131210101), we get a palindrome (221143341122).

The spelling of 101012131021 in words is "one hundred one billion, twelve million, one hundred thirty-one thousand, twenty-one".