101424122000 has 40 divisors (see below), whose sum is σ = 245243531832. Its totient is φ = 40569648000.

The previous prime is 101424121979. The next prime is 101424122003. The reversal of 101424122000 is 221424101.

It can be written as a sum of positive squares in 4 ways, for example, as 14696227984 + 86727894016 = 121228^2 + 294496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 101424122000.

It is not an unprimeable number, because it can be changed into a prime (101424122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25354031 + ... + 25358030.

Almost surely, 2^101424122000 is an apocalyptic number.

101424122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101424122000 is an abundant number, since it is smaller than the sum of its proper divisors (143819409832).

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

101424122000 is an equidigital number, since it uses as much as digits as its factorization.

101424122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50712084 (or 50712068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 101424122000 its reverse (221424101), we get a palindrome (101645546101).

The spelling of 101424122000 in words is "one hundred one billion, four hundred twenty-four million, one hundred twenty-two thousand".