101004322124304 has 120 divisors (see below), whose sum is σ = 283700889064320. Its totient is φ = 33545563520256.

The previous prime is 101004322124291. The next prime is 101004322124317. The reversal of 101004322124304 is 403421223400101.

101004322124304 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 4 + 3 + 221 + 2 + 430 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (101004322124291) and next prime (101004322124317).

It is a super-3 number, since 3×101004322124304³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396919542 + ... + 397173930.

It is an arithmetic number, because the mean of its divisors is an integer number (2364174075536).

Almost surely, 2^{101004322124304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101004322124304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141850444532160).

101004322124304 is an abundant number, since it is smaller than the sum of its proper divisors (182696566940016).

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

101004322124304 is a wasteful number, since it uses less digits than its factorization.

101004322124304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264429 (or 264420 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 101004322124304 its reverse (403421223400101), we get a palindrome (504425545524405).

The spelling of 101004322124304 in words is "one hundred one trillion, four billion, three hundred twenty-two million, one hundred twenty-four thousand, three hundred four".