101011220221201 has 8 divisors (see below), whose sum is σ = 104595521987880. Its totient is φ = 97433662204032.

The previous prime is 101011220221169. The next prime is 101011220221211. The reversal of 101011220221201 is 102122022110101.

It can be written as a sum of positive squares in 4 ways, for example, as 15643599129601 + 85367621091600 = 3955199^2 + 9239460^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101011220221201 - 2⁵ = 101011220221169 is a prime.

It is a super-2 number, since 2×101011220221201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011220221211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1685906890 + ... + 1685966803.

It is an arithmetic number, because the mean of its divisors is an integer number (13074440248485).

Almost surely, 2^{101011220221201} is an apocalyptic number.

It is an amenable number.

101011220221201 is a deficient number, since it is larger than the sum of its proper divisors (3584301766679).

101011220221201 is a wasteful number, since it uses less digits than its factorization.

101011220221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371874755.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101011220221201 its reverse (102122022110101), we get a palindrome (203133242331302).

The spelling of 101011220221201 in words is "one hundred one trillion, eleven billion, two hundred twenty million, two hundred twenty-one thousand, two hundred one".