10000101100501 has 2 divisors, whose sum is σ = 10000101100502. Its totient is φ = 10000101100500.

The previous prime is 10000101100463. The next prime is 10000101100543. The reversal of 10000101100501 is 10500110100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8281186067025 + 1718915033476 = 2877705^2 + 1311074^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000101100501 - 2⁴³ = 1204008078293 is a prime.

It is a super-2 number, since 2×10000101100501² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000101100571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050550250 + 5000050550251.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050550251).

Almost surely, 2^{10000101100501} is an apocalyptic number.

It is an amenable number.

10000101100501 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000101100501 is an equidigital number, since it uses as much as digits as its factorization.

10000101100501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5, while the sum is 10.

Adding to 10000101100501 its reverse (10500110100001), we get a palindrome (20500211200502).

The spelling of 10000101100501 in words is "ten trillion, one hundred one million, one hundred thousand, five hundred one".