202200212122101 has 64 divisors (see below), whose sum is σ = 316612335513600. Its totient is φ = 127182908160000.

The previous prime is 202200212122067. The next prime is 202200212122123. The reversal of 202200212122101 is 101221212002202.

It is a happy number.

202200212122101 is a `hidden beast` number, since 2 + 0 + 220 + 0 + 21 + 212 + 210 + 1 = 666.

It is not a de Polignac number, because 202200212122101 - 2¹³ = 202200212113909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202200212122801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1269137236 + ... + 1269296546.

It is an arithmetic number, because the mean of its divisors is an integer number (4947067742400).

Almost surely, 2^{202200212122101} is an apocalyptic number.

It is an amenable number.

202200212122101 is a deficient number, since it is larger than the sum of its proper divisors (114412123391499).

202200212122101 is a wasteful number, since it uses less digits than its factorization.

202200212122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169447 (or 169441 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202200212122101 its reverse (101221212002202), we get a palindrome (303421424124303).

The spelling of 202200212122101 in words is "two hundred two trillion, two hundred billion, two hundred twelve million, one hundred twenty-two thousand, one hundred one".