10038102628301 has 8 divisors (see below), whose sum is σ = 10963059073824. Its totient is φ = 9115213126320.

The previous prime is 10038102628187. The next prime is 10038102628319. The reversal of 10038102628301 is 10382620183001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10038102628301 - 2⁴² = 5640056117197 is a prime.

It is a super-2 number, since 2×10038102628301² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10038102628331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 516725726 + ... + 516745151.

It is an arithmetic number, because the mean of its divisors is an integer number (1370382384228).

Almost surely, 2^{10038102628301} is an apocalyptic number.

10038102628301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10038102628301 is a deficient number, since it is larger than the sum of its proper divisors (924956445523).

10038102628301 is a wasteful number, since it uses less digits than its factorization.

10038102628301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033471771.

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 10038102628301 in words is "ten trillion, thirty-eight billion, one hundred two million, six hundred twenty-eight thousand, three hundred one".