10201122002101 has 4 divisors (see below), whose sum is σ = 10201289786604. Its totient is φ = 10200954217600.

The previous prime is 10201122002089. The next prime is 10201122002147. The reversal of 10201122002101 is 10120022110201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7323437254225 + 2877684747876 = 2706185^2 + 1696374^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201122002101 - 2³⁵ = 10166762263733 is a prime.

It is a super-2 number, since 2×10201122002101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201122002161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83801020 + ... + 83922661.

It is an arithmetic number, because the mean of its divisors is an integer number (2550322446651).

Almost surely, 2^{10201122002101} is an apocalyptic number.

It is an amenable number.

10201122002101 is a deficient number, since it is larger than the sum of its proper divisors (167784503).

10201122002101 is an equidigital number, since it uses as much as digits as its factorization.

10201122002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167784502.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10201122002101 its reverse (10120022110201), we get a palindrome (20321144112302).

The spelling of 10201122002101 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, two thousand, one hundred one".