102222431120 has 80 divisors (see below), whose sum is σ = 243609265152. Its totient is φ = 39869921280.

The previous prime is 102222431119. The next prime is 102222431131. The reversal of 102222431120 is 21134222201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102222431092 and 102222431101.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2014865 + ... + 2064975.

Almost surely, 2^102222431120 is an apocalyptic number.

102222431120 is a gapful number since it is divisible by the number (10) 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 102222431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121804632576).

102222431120 is an abundant number, since it is smaller than the sum of its proper divisors (141386834032).

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

102222431120 is a wasteful number, since it uses less digits than its factorization.

102222431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50760 (or 50754 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 102222431120 its reverse (21134222201), we get a palindrome (123356653321).

The spelling of 102222431120 in words is "one hundred two billion, two hundred twenty-two million, four hundred thirty-one thousand, one hundred twenty".