10033200014101 has 20 divisors (see below), whose sum is σ = 11145724927020. Its totient is φ = 9030781760000.

The previous prime is 10033200014053. The next prime is 10033200014111. The reversal of 10033200014101 is 10141000233001.

It can be written as a sum of positive squares in 2 ways, for example, as 9237946281201 + 795253732900 = 3039399^2 + 891770^2 .

It is not a de Polignac number, because 10033200014101 - 2¹³ = 10033200005909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033200014111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1913740 + ... + 4871221.

It is an arithmetic number, because the mean of its divisors is an integer number (557286246351).

Almost surely, 2^{10033200014101} is an apocalyptic number.

10033200014101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10033200014101 is a deficient number, since it is larger than the sum of its proper divisors (1112524912919).

10033200014101 is an frugal number, since it uses more digits than its factorization.

10033200014101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6785106 (or 6785073 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10033200014101 its reverse (10141000233001), we get a palindrome (20174200247102).

The spelling of 10033200014101 in words is "ten trillion, thirty-three billion, two hundred million, fourteen thousand, one hundred one".