102002001101021 has 32 divisors (see below), whose sum is σ = 122206543872000. Its totient is φ = 83299571259840.

The previous prime is 102002001101009. The next prime is 102002001101023. The reversal of 102002001101021 is 120101100200201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102002001101021 is a prime.

It is a super-2 number, since 2×102002001101021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102002001100993 and 102002001101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002001101023) 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, 2541545 + ... + 14507358.

It is an arithmetic number, because the mean of its divisors is an integer number (3818954496000).

Almost surely, 2^{102002001101021} is an apocalyptic number.

It is an amenable number.

102002001101021 is a deficient number, since it is larger than the sum of its proper divisors (20204542770979).

102002001101021 is a wasteful number, since it uses less digits than its factorization.

102002001101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17049369.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102002001101021 its reverse (120101100200201), we get a palindrome (222103101301222).

The spelling of 102002001101021 in words is "one hundred two trillion, two billion, one million, one hundred one thousand, twenty-one".