102211231122 has 384 divisors, whose sum is σ = 307853844480. Its totient is φ = 23650859520.

The previous prime is 102211231079. The next prime is 102211231127. The reversal of 102211231122 is 221132112201.

102211231122 is a `hidden beast` number, since 102 + 211 + 231 + 122 = 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 = 102211231095 and 102211231104.

It is not an unprimeable number, because it can be changed into a prime (102211231127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92666023 + ... + 92667125.

It is an arithmetic number, because the mean of its divisors is an integer number (801702720).

Almost surely, 2^102211231122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102211231122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153926922240).

102211231122 is an abundant number, since it is smaller than the sum of its proper divisors (205642613358).

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

102211231122 is a wasteful number, since it uses less digits than its factorization.

102211231122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102211231122 its reverse (221132112201), we get a palindrome (323343343323).

It can be divided in two parts, 102211 and 231122, that added together give a palindrome (333333).

The spelling of 102211231122 in words is "one hundred two billion, two hundred eleven million, two hundred thirty-one thousand, one hundred twenty-two".