2002000201101 has 24 divisors (see below), whose sum is σ = 2936691313920. Its totient is φ = 1313991252000.

The previous prime is 2002000201099. The next prime is 2002000201109. The reversal of 2002000201101 is 1011020002002.

It is not a de Polignac number, because 2002000201101 - 2¹ = 2002000201099 is a prime.

It is a super-2 number, since 2×2002000201101² (a number of 25 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002000201109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1786741 + ... + 2682618.

It is an arithmetic number, because the mean of its divisors is an integer number (122362138080).

Almost surely, 2^{2002000201101} is an apocalyptic number.

It is an amenable number.

2002000201101 is a deficient number, since it is larger than the sum of its proper divisors (934691112819).

2002000201101 is a wasteful number, since it uses less digits than its factorization.

2002000201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4470137 (or 4470134 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2002000201101 its reverse (1011020002002), we get a palindrome (3013020203103).

The spelling of 2002000201101 in words is "two trillion, two billion, two hundred one thousand, one hundred one".