2002102021101 has 32 divisors (see below), whose sum is σ = 3292985006080. Its totient is φ = 1053648160704.

The previous prime is 2002102020973. The next prime is 2002102021109. The reversal of 2002102021101 is 1011202012002.

It is not a de Polignac number, because 2002102021101 - 2⁷ = 2002102020973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002102021109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8232895 + ... + 8472588.

It is an arithmetic number, because the mean of its divisors is an integer number (102905781440).

Almost surely, 2^{2002102021101} is an apocalyptic number.

2002102021101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2002102021101 is a deficient number, since it is larger than the sum of its proper divisors (1290882984979).

2002102021101 is a wasteful number, since it uses less digits than its factorization.

2002102021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16705945.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002102021101 its reverse (1011202012002), we get a palindrome (3013304033103).

Subtracting from 2002102021101 its reverse (1011202012002), we obtain a palindrome (990900009099).

The spelling of 2002102021101 in words is "two trillion, two billion, one hundred two million, twenty-one thousand, one hundred one".