102201331122 has 64 divisors (see below), whose sum is σ = 247803494400. Its totient is φ = 30964764240.

The previous prime is 102201331121. The next prime is 102201331139. The reversal of 102201331122 is 221133102201.

102201331122 is a `hidden beast` number, since 10 + 2 + 201 + 331 + 122 = 666.

102201331122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102201331122² (a number of 23 digits) contains 22 as substring.

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 = 102201331095 and 102201331104.

It is not an unprimeable number, because it can be changed into a prime (102201331121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4693023 + ... + 4714749.

It is an arithmetic number, because the mean of its divisors is an integer number (3871929600).

Almost surely, 2^102201331122 is an apocalyptic number.

102201331122 is an abundant number, since it is smaller than the sum of its proper divisors (145602163278).

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

102201331122 is a wasteful number, since it uses less digits than its factorization.

102201331122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29668 (or 29662 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102201331122 its reverse (221133102201), we get a palindrome (323334433323).

The spelling of 102201331122 in words is "one hundred two billion, two hundred one million, three hundred thirty-one thousand, one hundred twenty-two".