102211021002131 has 2 divisors, whose sum is σ = 102211021002132. Its totient is φ = 102211021002130.

The previous prime is 102211021002113. The next prime is 102211021002149. The reversal of 102211021002131 is 131200120112201.

It is a happy number.

Together with previous prime (102211021002113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (102211021002113) and next prime (102211021002149).

It is a cyclic number.

It is not a de Polignac number, because 102211021002131 - 2⁶ = 102211021002067 is a prime.

It is a super-2 number, since 2×102211021002131² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (102211021002931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105510501065 + 51105510501066.

It is an arithmetic number, because the mean of its divisors is an integer number (51105510501066).

Almost surely, 2^{102211021002131} is an apocalyptic number.

102211021002131 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211021002131 is an equidigital number, since it uses as much as digits as its factorization.

102211021002131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 102211021002131 its reverse (131200120112201), we get a palindrome (233411141114332).

The spelling of 102211021002131 in words is "one hundred two trillion, two hundred eleven billion, twenty-one million, two thousand, one hundred thirty-one".