10100221203133 has 16 divisors (see below), whose sum is σ = 10407537392112. Its totient is φ = 9795821056000.

The previous prime is 10100221203113. The next prime is 10100221203143. The reversal of 10100221203133 is 33130212200101.

10100221203133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 491845534489 + 9608375668644 = 701317^2 + 3099738^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100221203133 - 2¹³ = 10100221194941 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100221203133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100221203113) 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, 67457673 + ... + 67607233.

It is an arithmetic number, because the mean of its divisors is an integer number (650471087007).

Almost surely, 2^{10100221203133} is an apocalyptic number.

It is an amenable number.

10100221203133 is a deficient number, since it is larger than the sum of its proper divisors (307316188979).

10100221203133 is a wasteful number, since it uses less digits than its factorization.

10100221203133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159296.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10100221203133 its reverse (33130212200101), we get a palindrome (43230433403234).

The spelling of 10100221203133 in words is "ten trillion, one hundred billion, two hundred twenty-one million, two hundred three thousand, one hundred thirty-three".