10211122020101 has 8 divisors (see below), whose sum is σ = 10426555161624. Its totient is φ = 9997730899200.

The previous prime is 10211122020091. The next prime is 10211122020107. The reversal of 10211122020101 is 10102022111201.

It can be written as a sum of positive squares in 4 ways, for example, as 5667399196900 + 4543722823201 = 2380630^2 + 2131601^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10211122020101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211122020107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510495050 + ... + 510515051.

It is an arithmetic number, because the mean of its divisors is an integer number (1303319395203).

Almost surely, 2^{10211122020101} is an apocalyptic number.

It is an amenable number.

10211122020101 is a deficient number, since it is larger than the sum of its proper divisors (215433141523).

10211122020101 is a wasteful number, since it uses less digits than its factorization.

10211122020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021010311.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10211122020101 its reverse (10102022111201), we get a palindrome (20313144131302).

The spelling of 10211122020101 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, twenty thousand, one hundred one".