102400122 has 48 divisors (see below), whose sum is σ = 229977216. Its totient is φ = 30360000.

The previous prime is 102400121. The next prime is 102400153. The reversal of 102400122 is 221004201.

It is a super-2 number, since 2×102400122² = 20971569971229768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102400098 and 102400107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102400121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32622 + ... + 35622.

It is an arithmetic number, because the mean of its divisors is an integer number (4791192).

Almost surely, 2^102400122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102400122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114988608).

102400122 is an abundant number, since it is smaller than the sum of its proper divisors (127577094).

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

102400122 is a wasteful number, since it uses less digits than its factorization.

102400122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102400122 is about 10119.2945406288. The cubic root of 102400122 is about 467.8430239109.

Adding to 102400122 its reverse (221004201), we get a palindrome (323404323).

The spelling of 102400122 in words is "one hundred two million, four hundred thousand, one hundred twenty-two".