101021112210121 has 2 divisors, whose sum is σ = 101021112210122. Its totient is φ = 101021112210120.

The previous prime is 101021112210107. The next prime is 101021112210133. The reversal of 101021112210121 is 121012211120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99382556046400 + 1638556163721 = 9969080^2 + 1280061^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101021112210121 is a prime.

It is a super-2 number, since 2×101021112210121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101021112210095 and 101021112210104.

It is not a weakly prime, because it can be changed into another prime (101021112213121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510556105060 + 50510556105061.

It is an arithmetic number, because the mean of its divisors is an integer number (50510556105061).

Almost surely, 2^{101021112210121} is an apocalyptic number.

It is an amenable number.

101021112210121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021112210121 is an equidigital number, since it uses as much as digits as its factorization.

101021112210121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101021112210121 its reverse (121012211120101), we get a palindrome (222033323330222).

The spelling of 101021112210121 in words is "one hundred one trillion, twenty-one billion, one hundred twelve million, two hundred ten thousand, one hundred twenty-one".