10202122102101 has 16 divisors (see below), whose sum is σ = 14044904839680. Its totient is φ = 6580479375360.

The previous prime is 10202122102087. The next prime is 10202122102121. The reversal of 10202122102101 is 10120122120201.

It is not a de Polignac number, because 10202122102101 - 2⁶ = 10202122102037 is a prime.

It is a super-2 number, since 2×10202122102101² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202122102121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12389680 + ... + 13187433.

It is an arithmetic number, because the mean of its divisors is an integer number (877806552480).

Almost surely, 2^{10202122102101} is an apocalyptic number.

It is an amenable number.

10202122102101 is a deficient number, since it is larger than the sum of its proper divisors (3842782737579).

10202122102101 is a wasteful number, since it uses less digits than its factorization.

10202122102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25581436.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10202122102101 its reverse (10120122120201), we get a palindrome (20322244222302).

The spelling of 10202122102101 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, one hundred two thousand, one hundred one".