102211213830 has 256 divisors, whose sum is σ = 291750543360. Its totient is φ = 22641292800.

The previous prime is 102211213829. The next prime is 102211213847. The reversal of 102211213830 is 38312112201.

102211213830 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 102211213830.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74443024 + ... + 74444396.

It is an arithmetic number, because the mean of its divisors is an integer number (1139650560).

Almost surely, 2^102211213830 is an apocalyptic number.

102211213830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102211213830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145875271680).

102211213830 is an abundant number, since it is smaller than the sum of its proper divisors (189539329530).

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

102211213830 is a wasteful number, since it uses less digits than its factorization.

102211213830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827.

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 102211213830 in words is "one hundred two billion, two hundred eleven million, two hundred thirteen thousand, eight hundred thirty".