10242122000 has 80 divisors (see below), whose sum is σ = 27016913664. Its totient is φ = 3724400000.

The previous prime is 10242121991. The next prime is 10242122041. The reversal of 10242122000 is 22124201.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210776 + ... + 254775.

Almost surely, 2^10242122000 is an apocalyptic number.

10242122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242122000 is an abundant number, since it is smaller than the sum of its proper divisors (16774791664).

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

10242122000 is a wasteful number, since it uses less digits than its factorization.

10242122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465585 (or 465569 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10242122000 its reverse (22124201), we get a palindrome (10264246201).

It can be divided in two parts, 102421 and 22000, that added together give a palindrome (124421).

The spelling of 10242122000 in words is "ten billion, two hundred forty-two million, one hundred twenty-two thousand".