101121100122221 has 2 divisors, whose sum is σ = 101121100122222. Its totient is φ = 101121100122220.

The previous prime is 101121100122181. The next prime is 101121100122271. The reversal of 101121100122221 is 122221001121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99696929977225 + 1424170144996 = 9984835^2 + 1193386^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121100122221 - 2⁴² = 96723053611117 is a prime.

It is a super-2 number, since 2×101121100122221² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101121100122221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121100122271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560550061110 + 50560550061111.

It is an arithmetic number, because the mean of its divisors is an integer number (50560550061111).

Almost surely, 2^{101121100122221} is an apocalyptic number.

It is an amenable number.

101121100122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121100122221 is an equidigital number, since it uses as much as digits as its factorization.

101121100122221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101121100122221 its reverse (122221001121101), we get a palindrome (223342101243322).

The spelling of 101121100122221 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred million, one hundred twenty-two thousand, two hundred twenty-one".