102211311132 has 192 divisors, whose sum is σ = 304952524800. Its totient is φ = 29001136320.

The previous prime is 102211311073. The next prime is 102211311151. The reversal of 102211311132 is 231113112201.

102211311132 is a `hidden beast` number, since 1 + 0 + 221 + 1 + 311 + 132 = 666.

102211311132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87284907 + ... + 87286077.

It is an arithmetic number, because the mean of its divisors is an integer number (1588294400).

Almost surely, 2^102211311132 is an apocalyptic number.

102211311132 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 102211311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152476262400).

102211311132 is an abundant number, since it is smaller than the sum of its proper divisors (202741213668).

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

102211311132 is a wasteful number, since it uses less digits than its factorization.

102211311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102211311132 its reverse (231113112201), we get a palindrome (333324423333).

The spelling of 102211311132 in words is "one hundred two billion, two hundred eleven million, three hundred eleven thousand, one hundred thirty-two".