1000010109101 has 2 divisors, whose sum is σ = 1000010109102. Its totient is φ = 1000010109100.

The previous prime is 1000010109073. The next prime is 1000010109121. The reversal of 1000010109101 is 1019010100001.

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., 511267900900 + 488742208201 = 715030^2 + 699101^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000010109101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000010109121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500005054550 + 500005054551.

It is an arithmetic number, because the mean of its divisors is an integer number (500005054551).

Almost surely, 2^{1000010109101} is an apocalyptic number.

It is an amenable number.

1000010109101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000010109101 is an equidigital number, since it uses as much as digits as its factorization.

1000010109101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 1000010109101 its reverse (1019010100001), we get a palindrome (2019020209102).

The spelling of 1000010109101 in words is "one trillion, ten million, one hundred nine thousand, one hundred one".