101400024034032 has 40 divisors (see below), whose sum is σ = 265639499591040. Its totient is φ = 33323951559360.

The previous prime is 101400024033991. The next prime is 101400024034061. The reversal of 101400024034032 is 230430420004101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 101400024033993 and 101400024034011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14876760682 + ... + 14876767497.

It is an arithmetic number, because the mean of its divisors is an integer number (6640987489776).

Almost surely, 2^{101400024034032} is an apocalyptic number.

101400024034032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101400024034032 is an abundant number, since it is smaller than the sum of its proper divisors (164239475557008).

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

101400024034032 is a wasteful number, since it uses less digits than its factorization.

101400024034032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29753528261 (or 29753528255 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 101400024034032 its reverse (230430420004101), we get a palindrome (331830444038133).

The spelling of 101400024034032 in words is "one hundred one trillion, four hundred billion, twenty-four million, thirty-four thousand, thirty-two".