1000101042001 has 2 divisors, whose sum is σ = 1000101042002. Its totient is φ = 1000101042000.

The previous prime is 1000101041963. The next prime is 1000101042029. The reversal of 1000101042001 is 1002401010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 975256977601 + 24844064400 = 987551^2 + 157620^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000101042001 - 2²⁵ = 1000067487569 is a prime.

It is a super-2 number, since 2×1000101042001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1000101042091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050521000 + 500050521001.

It is an arithmetic number, because the mean of its divisors is an integer number (500050521001).

Almost surely, 2^{1000101042001} is an apocalyptic number.

It is an amenable number.

1000101042001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000101042001 is an equidigital number, since it uses as much as digits as its factorization.

1000101042001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000101042001 its reverse (1002401010001), we get a palindrome (2002502052002).

Subtracting 1000101042001 from its reverse (1002401010001), we obtain a cube (2299968000 = 1320³).

The spelling of 1000101042001 in words is "one trillion, one hundred one million, forty-two thousand, one".