2002121201101 has 6 divisors (see below), whose sum is σ = 2328998131950. Its totient is φ = 1716103886616.

The previous prime is 2002121201029. The next prime is 2002121201131. The reversal of 2002121201101 is 1011021212002.

It can be written as a sum of positive squares in only one way, i.e., 1301721264900 + 700399936201 = 1140930^2 + 836899^2 .

It is not a de Polignac number, because 2002121201101 - 2⁷ = 2002121200973 is a prime.

It is a super-2 number, since 2×2002121201101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002121201131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20429808126 + ... + 20429808223.

It is an arithmetic number, because the mean of its divisors is an integer number (388166355325).

Almost surely, 2^{2002121201101} is an apocalyptic number.

It is an amenable number.

2002121201101 is a deficient number, since it is larger than the sum of its proper divisors (326876930849).

2002121201101 is an equidigital number, since it uses as much as digits as its factorization.

2002121201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40859616363 (or 40859616356 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2002121201101 its reverse (1011021212002), we get a palindrome (3013142413103).

The spelling of 2002121201101 in words is "two trillion, two billion, one hundred twenty-one million, two hundred one thousand, one hundred one".