202102121102101 has 16 divisors (see below), whose sum is σ = 220675995440640. Its totient is φ = 183561776073280.

The previous prime is 202102121102099. The next prime is 202102121102153. The reversal of 202102121102101 is 101201121201202.

It is not a de Polignac number, because 202102121102101 - 2¹ = 202102121102099 is a prime.

It is a super-2 number, since 2×202102121102101² (a number of 29 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 (202102121102701) 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, 109055100 + ... + 110892826.

It is an arithmetic number, because the mean of its divisors is an integer number (13792249715040).

Almost surely, 2^{202102121102101} is an apocalyptic number.

It is an amenable number.

202102121102101 is a deficient number, since it is larger than the sum of its proper divisors (18573874338539).

202102121102101 is a wasteful number, since it uses less digits than its factorization.

202102121102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846844.

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

Adding to 202102121102101 its reverse (101201121201202), we get a palindrome (303303242303303).

The spelling of 202102121102101 in words is "two hundred two trillion, one hundred two billion, one hundred twenty-one million, one hundred two thousand, one hundred one".