102121212110211 has 64 divisors (see below), whose sum is σ = 173945168732160. Its totient is φ = 58003487108640.

The previous prime is 102121212110209. The next prime is 102121212110213. The reversal of 102121212110211 is 112011212121201.

It is a happy number.

102121212110211 is a `hidden beast` number, since 10 + 2 + 121 + 212 + 110 + 211 = 666.

It is an interprime number because it is at equal distance from previous prime (102121212110209) and next prime (102121212110213).

It is not a de Polignac number, because 102121212110211 - 2¹ = 102121212110209 is a prime.

It is a super-2 number, since 2×102121212110211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102121212110213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1557001560 + ... + 1557067146.

It is an arithmetic number, because the mean of its divisors is an integer number (2717893261440).

Almost surely, 2^{102121212110211} is an apocalyptic number.

102121212110211 is a deficient number, since it is larger than the sum of its proper divisors (71823956621949).

102121212110211 is a wasteful number, since it uses less digits than its factorization.

102121212110211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115101 (or 115095 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102121212110211 its reverse (112011212121201), we get a palindrome (214132424231412).

The spelling of 102121212110211 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred twelve million, one hundred ten thousand, two hundred eleven".