22142400102 has 192 divisors, whose sum is σ = 52703239680. Its totient is φ = 6702538752.

The previous prime is 22142400097. The next prime is 22142400107. The reversal of 22142400102 is 20100424122.

22142400102 is a `hidden beast` number, since 22 + 142 + 400 + 102 = 666.

It is an interprime number because it is at equal distance from previous prime (22142400097) and next prime (22142400107).

It is a super-2 number, since 2×22142400102² (a number of 21 digits) contains 22 as substring.

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 (22142400107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99293163 + ... + 99293385.

It is an arithmetic number, because the mean of its divisors is an integer number (274496040).

Almost surely, 2^22142400102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22142400102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26351619840).

22142400102 is an abundant number, since it is smaller than the sum of its proper divisors (30560839578).

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

22142400102 is a wasteful number, since it uses less digits than its factorization.

22142400102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22142400102 its reverse (20100424122), we get a palindrome (42242824224).

The spelling of 22142400102 in words is "twenty-two billion, one hundred forty-two million, four hundred thousand, one hundred two".