2002122002101 has 8 divisors (see below), whose sum is σ = 2162239412760. Its totient is φ = 1842877166592.

The previous prime is 2002122002093. The next prime is 2002122002147. The reversal of 2002122002101 is 1012002212002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40581699601 + 1961540302500 = 201449^2 + 1400550^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2002122002101 - 2³ = 2002122002093 is a prime.

It is a super-2 number, since 2×2002122002101² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002122002171) 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, 218139016 + ... + 218148193.

It is an arithmetic number, because the mean of its divisors is an integer number (270279926595).

Almost surely, 2^{2002122002101} is an apocalyptic number.

It is an amenable number.

2002122002101 is a deficient number, since it is larger than the sum of its proper divisors (160117410659).

2002122002101 is a wasteful number, since it uses less digits than its factorization.

2002122002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436287575.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2002122002101 its reverse (1012002212002), we get a palindrome (3014124214103).

The spelling of 2002122002101 in words is "two trillion, two billion, one hundred twenty-two million, two thousand, one hundred one".