102022221312 has 480 divisors, whose sum is σ = 342400522464. Its totient is φ = 28901376000.

The previous prime is 102022221311. The next prime is 102022221313. The reversal of 102022221312 is 213122220201.

It is an interprime number because it is at equal distance from previous prime (102022221311) and next prime (102022221313).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022221311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169753812 + ... + 169754412.

Almost surely, 2^102022221312 is an apocalyptic number.

102022221312 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 102022221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171200261232).

102022221312 is an abundant number, since it is smaller than the sum of its proper divisors (240378301152).

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

102022221312 is a wasteful number, since it uses less digits than its factorization.

102022221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102022221312 its reverse (213122220201), we get a palindrome (315144441513).

The spelling of 102022221312 in words is "one hundred two billion, twenty-two million, two hundred twenty-one thousand, three hundred twelve".