102212102022120 has 192 divisors, whose sum is σ = 335630880374400. Its totient is φ = 26974422489600.

The previous prime is 102212102022113. The next prime is 102212102022127. The reversal of 102212102022120 is 21220201212201.

It is a happy number.

102212102022120 is a `hidden beast` number, since 1 + 0 + 221 + 210 + 20 + 2 + 212 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102212102022113) and next prime (102212102022127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102212102022093 and 102212102022102.

It is not an unprimeable number, because it can be changed into a prime (102212102022127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79463061 + ... + 80739099.

It is an arithmetic number, because the mean of its divisors is an integer number (1748077501950).

Almost surely, 2^{102212102022120} is an apocalyptic number.

102212102022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212102022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167815440187200).

102212102022120 is an abundant number, since it is smaller than the sum of its proper divisors (233418778352280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102212102022120 is a wasteful number, since it uses less digits than its factorization.

102212102022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278360 (or 1278353 counting only the distinct ones).

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

Adding to 102212102022120 its reverse (21220201212201), we get a palindrome (123432303234321).

The spelling of 102212102022120 in words is "one hundred two trillion, two hundred twelve billion, one hundred two million, twenty-two thousand, one hundred twenty".