102002211022101 has 24 divisors (see below), whose sum is σ = 147620943177120. Its totient is φ = 62620780787136.

The previous prime is 102002211022043. The next prime is 102002211022241. The reversal of 102002211022101 is 101220112200201.

It is not a de Polignac number, because 102002211022101 - 2⁶ = 102002211022037 is a prime.

It is a super-2 number, since 2×102002211022101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002211022501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239868466 + ... + 240293331.

It is an arithmetic number, because the mean of its divisors is an integer number (6150872632380).

Almost surely, 2^{102002211022101} is an apocalyptic number.

It is an amenable number.

102002211022101 is a deficient number, since it is larger than the sum of its proper divisors (45618732155019).

102002211022101 is a wasteful number, since it uses less digits than its factorization.

102002211022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480162245 (or 480162232 counting only the distinct ones).

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

Adding to 102002211022101 its reverse (101220112200201), we get a palindrome (203222323222302).

The spelling of 102002211022101 in words is "one hundred two trillion, two billion, two hundred eleven million, twenty-two thousand, one hundred one".