102212202111120 has 240 divisors, whose sum is σ = 358217832091392. Its totient is φ = 26069281920000.

The previous prime is 102212202111109. The next prime is 102212202111161. The reversal of 102212202111120 is 21111202212201.

102212202111120 is a `hidden beast` number, since 1 + 0 + 221 + 220 + 211 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 102212202111093 and 102212202111102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197252370 + ... + 197769870.

Almost surely, 2^{102212202111120} is an apocalyptic number.

102212202111120 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 102212202111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179108916045696).

102212202111120 is an abundant number, since it is smaller than the sum of its proper divisors (256005629980272).

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

102212202111120 is a wasteful number, since it uses less digits than its factorization.

102212202111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529470 (or 529461 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102212202111120 its reverse (21111202212201), we get a palindrome (123323404323321).

The spelling of 102212202111120 in words is "one hundred two trillion, two hundred twelve billion, two hundred two million, one hundred eleven thousand, one hundred twenty".