101012120900221 has 2 divisors, whose sum is σ = 101012120900222. Its totient is φ = 101012120900220.

The previous prime is 101012120900209. The next prime is 101012120900227. The reversal of 101012120900221 is 122009021210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82197251712900 + 18814869187321 = 9066270^2 + 4337611^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012120900221 - 2³³ = 101003530965629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101012120900192 and 101012120900201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012120900227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506060450110 + 50506060450111.

It is an arithmetic number, because the mean of its divisors is an integer number (50506060450111).

Almost surely, 2^{101012120900221} is an apocalyptic number.

It is an amenable number.

101012120900221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012120900221 is an equidigital number, since it uses as much as digits as its factorization.

101012120900221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 101012120900221 in words is "one hundred one trillion, twelve billion, one hundred twenty million, nine hundred thousand, two hundred twenty-one".