102211034330412 has 144 divisors (see below), whose sum is σ = 296805830630400. Its totient is φ = 29052124899840.

The previous prime is 102211034330357. The next prime is 102211034330437. The reversal of 102211034330412 is 214033430112201.

102211034330412 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 1 + 0 + 343 + 304 + 12 = 666.

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, 59929087 + ... + 61611017.

It is an arithmetic number, because the mean of its divisors is an integer number (2061151601600).

Almost surely, 2^{102211034330412} is an apocalyptic number.

102211034330412 is a gapful number since it is divisible by the number (12) 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 102211034330412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148402915315200).

102211034330412 is an abundant number, since it is smaller than the sum of its proper divisors (194594796299988).

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

102211034330412 is a wasteful number, since it uses less digits than its factorization.

102211034330412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683196 (or 1683191 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 102211034330412 its reverse (214033430112201), we get a palindrome (316244464442613).

The spelling of 102211034330412 in words is "one hundred two trillion, two hundred eleven billion, thirty-four million, three hundred thirty thousand, four hundred twelve".