101012221112221 has 2 divisors, whose sum is σ = 101012221112222. Its totient is φ = 101012221112220.

The previous prime is 101012221112177. The next prime is 101012221112249. The reversal of 101012221112221 is 122211122210101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90178972980121 + 10833248132100 = 9496261^2 + 3291390^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012221112221 - 2²¹ = 101012219015069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012221112321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506110556110 + 50506110556111.

It is an arithmetic number, because the mean of its divisors is an integer number (50506110556111).

Almost surely, 2^{101012221112221} is an apocalyptic number.

It is an amenable number.

101012221112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012221112221 is an equidigital number, since it uses as much as digits as its factorization.

101012221112221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 101012221112221 its reverse (122211122210101), we get a palindrome (223223343322322).

The spelling of 101012221112221 in words is "one hundred one trillion, twelve billion, two hundred twenty-one million, one hundred twelve thousand, two hundred twenty-one".