101400120024 has 64 divisors (see below), whose sum is σ = 289851225600. Its totient is φ = 28957803264.

The previous prime is 101400120023. The next prime is 101400120067. The reversal of 101400120024 is 420021004101.

It is a super-3 number, since 3×101400120024³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101400119985 and 101400120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101400120023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217797 + ... + 500235.

It is an arithmetic number, because the mean of its divisors is an integer number (4528925400).

Almost surely, 2^101400120024 is an apocalyptic number.

101400120024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101400120024 is an abundant number, since it is smaller than the sum of its proper divisors (188451105576).

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

101400120024 is a wasteful number, since it uses less digits than its factorization.

101400120024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284592 (or 284588 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101400120024 its reverse (420021004101), we get a palindrome (521421124125).

The spelling of 101400120024 in words is "one hundred one billion, four hundred million, one hundred twenty thousand, twenty-four".