101012212220201 has 2 divisors, whose sum is σ = 101012212220202. Its totient is φ = 101012212220200.

The previous prime is 101012212220131. The next prime is 101012212220303. The reversal of 101012212220201 is 102022212210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98388524971801 + 2623687248400 = 9919099^2 + 1619780^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012212220201 - 2¹⁴ = 101012212203817 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101012212220201.

It is not a weakly prime, because it can be changed into another prime (101012212220401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506106110100 + 50506106110101.

It is an arithmetic number, because the mean of its divisors is an integer number (50506106110101).

Almost surely, 2^{101012212220201} is an apocalyptic number.

It is an amenable number.

101012212220201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012212220201 is an equidigital number, since it uses as much as digits as its factorization.

101012212220201 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 17.

Adding to 101012212220201 its reverse (102022212210101), we get a palindrome (203034424430302).

The spelling of 101012212220201 in words is "one hundred one trillion, twelve billion, two hundred twelve million, two hundred twenty thousand, two hundred one".