101020221100121 has 2 divisors, whose sum is σ = 101020221100122. Its totient is φ = 101020221100120.

The previous prime is 101020221100063. The next prime is 101020221100157. The reversal of 101020221100121 is 121001122020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63630359274496 + 37389861825625 = 7976864^2 + 6114725^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020221100121 - 2¹⁴ = 101020221083737 is a prime.

It is a super-2 number, since 2×101020221100121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101020221100096 and 101020221100105.

It is not a weakly prime, because it can be changed into another prime (101020221600121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510110550060 + 50510110550061.

It is an arithmetic number, because the mean of its divisors is an integer number (50510110550061).

Almost surely, 2^{101020221100121} is an apocalyptic number.

It is an amenable number.

101020221100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020221100121 is an equidigital number, since it uses as much as digits as its factorization.

101020221100121 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 14.

Adding to 101020221100121 its reverse (121001122020101), we get a palindrome (222021343120222).

The spelling of 101020221100121 in words is "one hundred one trillion, twenty billion, two hundred twenty-one million, one hundred thousand, one hundred twenty-one".