10242124100 has 72 divisors (see below), whose sum is σ = 24707251968. Its totient is φ = 3659702400.

The previous prime is 10242124093. The next prime is 10242124103. The reversal of 10242124100 is 142124201.

It is a super-2 number, since 2×10242124100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10242124103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86774 + ... + 167373.

Almost surely, 2^10242124100 is an apocalyptic number.

10242124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242124100 is an abundant number, since it is smaller than the sum of its proper divisors (14465127868).

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

10242124100 is a wasteful number, since it uses less digits than its factorization.

10242124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254205 (or 254198 counting only the distinct ones).

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

Adding to 10242124100 its reverse (142124201), we get a palindrome (10384248301).

The spelling of 10242124100 in words is "ten billion, two hundred forty-two million, one hundred twenty-four thousand, one hundred".