101021122123331 has 2 divisors, whose sum is σ = 101021122123332. Its totient is φ = 101021122123330.

The previous prime is 101021122123321. The next prime is 101021122123421. The reversal of 101021122123331 is 133321221120101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101021122123331 - 2³⁰ = 101020048381507 is a prime.

It is a super-2 number, since 2×101021122123331² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101021122123297 and 101021122123306.

It is not a weakly prime, because it can be changed into another prime (101021122123321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510561061665 + 50510561061666.

It is an arithmetic number, because the mean of its divisors is an integer number (50510561061666).

Almost surely, 2^{101021122123331} is an apocalyptic number.

101021122123331 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021122123331 is an equidigital number, since it uses as much as digits as its factorization.

101021122123331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 101021122123331 its reverse (133321221120101), we get a palindrome (234342343243432).

The spelling of 101021122123331 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty-three thousand, three hundred thirty-one".