102111112212120 has 768 divisors, whose sum is σ = 379046616698880. Its totient is φ = 23598120268800.

The previous prime is 102111112212103. The next prime is 102111112212121. The reversal of 102111112212120 is 21212211111201.

It is a happy number.

102111112212120 is a `hidden beast` number, since 1 + 0 + 211 + 111 + 221 + 2 + 120 = 666.

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 = 102111112212093 and 102111112212102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111112212121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58449405087 + ... + 58449406833.

It is an arithmetic number, because the mean of its divisors is an integer number (493550282160).

Almost surely, 2^{102111112212120} is an apocalyptic number.

102111112212120 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 102111112212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189523308349440).

102111112212120 is an abundant number, since it is smaller than the sum of its proper divisors (276935504486760).

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

102111112212120 is a wasteful number, since it uses less digits than its factorization.

102111112212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3589 counting only the distinct ones).

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

Adding to 102111112212120 its reverse (21212211111201), we get a palindrome (123323323323321).

It can be divided in two parts, 1021111 and 12212120, that added together give a palindrome (13233231).

The spelling of 102111112212120 in words is "one hundred two trillion, one hundred eleven billion, one hundred twelve million, two hundred twelve thousand, one hundred twenty".