2002001022101 has 8 divisors (see below), whose sum is σ = 2009297900064. Its totient is φ = 1994704644240.

The previous prime is 2002001022059. The next prime is 2002001022137. The reversal of 2002001022101 is 1012201002002.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002001022101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002001022601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9144446 + ... + 9360816.

It is an arithmetic number, because the mean of its divisors is an integer number (251162237508).

Almost surely, 2^{2002001022101} is an apocalyptic number.

It is an amenable number.

2002001022101 is a deficient number, since it is larger than the sum of its proper divisors (7296877963).

2002001022101 is a wasteful number, since it uses less digits than its factorization.

2002001022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250051.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2002001022101 its reverse (1012201002002), we get a palindrome (3014202024103).

The spelling of 2002001022101 in words is "two trillion, two billion, one million, twenty-two thousand, one hundred one".