10242301400120 has 32 divisors (see below), whose sum is σ = 23668020806400. Its totient is φ = 3986192976768.

The previous prime is 10242301400113. The next prime is 10242301400159. The reversal of 10242301400120 is 2100410324201.

It is a super-2 number, since 2×10242301400120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10242301400092 and 10242301400101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3460235480 + ... + 3460238439.

It is an arithmetic number, because the mean of its divisors is an integer number (739625650200).

Almost surely, 2^{10242301400120} is an apocalyptic number.

10242301400120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242301400120 is an abundant number, since it is smaller than the sum of its proper divisors (13425719406280).

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

10242301400120 is a wasteful number, since it uses less digits than its factorization.

10242301400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920473967 (or 6920473963 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10242301400120 its reverse (2100410324201), we get a palindrome (12342711724321).

The spelling of 10242301400120 in words is "ten trillion, two hundred forty-two billion, three hundred one million, four hundred thousand, one hundred twenty".