1022342432100 has 288 divisors, whose sum is σ = 3269511737856. Its totient is φ = 244573593600.

The previous prime is 1022342432099. The next prime is 1022342432101. The reversal of 1022342432100 is 12342432201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1022342432099) and next prime (1022342432101).

It is a super-2 number, since 2×1022342432100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022342432101) 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, 333334767 + ... + 333337833.

It is an arithmetic number, because the mean of its divisors is an integer number (11352471312).

Almost surely, 2^{1022342432100} is an apocalyptic number.

1022342432100 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 1022342432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634755868928).

1022342432100 is an abundant number, since it is smaller than the sum of its proper divisors (2247169305756).

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

1022342432100 is a wasteful number, since it uses less digits than its factorization.

1022342432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1022342432100 its reverse (12342432201), we get a palindrome (1034684864301).

The spelling of 1022342432100 in words is "one trillion, twenty-two billion, three hundred forty-two million, four hundred thirty-two thousand, one hundred".