20011132101001 has 2 divisors, whose sum is σ = 20011132101002. Its totient is φ = 20011132101000.

The previous prime is 20011132100957. The next prime is 20011132101017. The reversal of 20011132101001 is 10010123111002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14101346790976 + 5909785310025 = 3755176^2 + 2431005^2 .

It is a cyclic number.

It is not a de Polignac number, because 20011132101001 - 2⁷ = 20011132100873 is a prime.

It is not a weakly prime, because it can be changed into another prime (20011132101601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10005566050500 + 10005566050501.

It is an arithmetic number, because the mean of its divisors is an integer number (10005566050501).

Almost surely, 2^{20011132101001} is an apocalyptic number.

It is an amenable number.

20011132101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20011132101001 is an equidigital number, since it uses as much as digits as its factorization.

20011132101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 20011132101001 its reverse (10010123111002), we get a palindrome (30021255212003).

The spelling of 20011132101001 in words is "twenty trillion, eleven billion, one hundred thirty-two million, one hundred one thousand, one".