1001101020201 has 32 divisors (see below), whose sum is σ = 1561302172800. Its totient is φ = 632221277760.

The previous prime is 1001101020193. The next prime is 1001101020209. The reversal of 1001101020201 is 1020201011001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1001101020193) and next prime (1001101020209).

It is not a de Polignac number, because 1001101020201 - 2³ = 1001101020193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1001101020209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6563335 + ... + 6714131.

It is an arithmetic number, because the mean of its divisors is an integer number (48790692900).

Almost surely, 2^{1001101020201} is an apocalyptic number.

It is an amenable number.

1001101020201 is a deficient number, since it is larger than the sum of its proper divisors (560201152599).

1001101020201 is a wasteful number, since it uses less digits than its factorization.

1001101020201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163766 (or 163760 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001101020201 its reverse (1020201011001), we get a palindrome (2021302031202).

The spelling of 1001101020201 in words is "one trillion, one billion, one hundred one million, twenty thousand, two hundred one".