10033100400101 has 2 divisors, whose sum is σ = 10033100400102. Its totient is φ = 10033100400100.

The previous prime is 10033100399947. The next prime is 10033100400119. The reversal of 10033100400101 is 10100400133001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9715003272100 + 318097128001 = 3116890^2 + 564001^2 .

It is a cyclic number.

It is not a de Polignac number, because 10033100400101 - 2¹⁴ = 10033100383717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10033100400131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016550200050 + 5016550200051.

It is an arithmetic number, because the mean of its divisors is an integer number (5016550200051).

Almost surely, 2^{10033100400101} is an apocalyptic number.

It is an amenable number.

10033100400101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033100400101 is an equidigital number, since it uses as much as digits as its factorization.

10033100400101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10033100400101 its reverse (10100400133001), we get a palindrome (20133500533102).

The spelling of 10033100400101 in words is "ten trillion, thirty-three billion, one hundred million, four hundred thousand, one hundred one".