202122102102101 has 16 divisors (see below), whose sum is σ = 211675149840000. Its totient is φ = 192805335478080.

The previous prime is 202122102102091. The next prime is 202122102102119. The reversal of 202122102102101 is 101201201221202.

It is a cyclic number.

It is not a de Polignac number, because 202122102102101 - 2⁴⁶ = 131753357924437 is a prime.

It is a super-2 number, since 2×202122102102101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202122102102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202122102102301) 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 15 ways as a sum of consecutive naturals, for example, 145159601 + ... + 146545398.

It is an arithmetic number, because the mean of its divisors is an integer number (13229696865000).

Almost surely, 2^{202122102102101} is an apocalyptic number.

It is an amenable number.

202122102102101 is a deficient number, since it is larger than the sum of its proper divisors (9553047737899).

202122102102101 is a wasteful number, since it uses less digits than its factorization.

202122102102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291705404.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 202122102102101 its reverse (101201201221202), we get a palindrome (303323303323303).

The spelling of 202122102102101 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred two million, one hundred two thousand, one hundred one".