1000101021001 has 4 divisors (see below), whose sum is σ = 1043583674112. Its totient is φ = 956618367892.

The previous prime is 1000101020959. The next prime is 1000101021067. The reversal of 1000101021001 is 1001201010001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1000101021001 - 2¹⁷ = 1000100889929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000101031001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21741326521 + ... + 21741326566.

It is an arithmetic number, because the mean of its divisors is an integer number (260895918528).

Almost surely, 2^{1000101021001} is an apocalyptic number.

It is an amenable number.

1000101021001 is a deficient number, since it is larger than the sum of its proper divisors (43482653111).

1000101021001 is an equidigital number, since it uses as much as digits as its factorization.

1000101021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43482653110.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1000101021001 its reverse (1001201010001), we get a palindrome (2001302031002).

The spelling of 1000101021001 in words is "one trillion, one hundred one million, twenty-one thousand, one".