102002120020021 has 16 divisors (see below), whose sum is σ = 116279019077760. Its totient is φ = 88794887267520.

The previous prime is 102002120020019. The next prime is 102002120020057. The reversal of 102002120020021 is 120020021200201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102002120020021 - 2¹ = 102002120020019 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102002120019983 and 102002120020010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002120020061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3146061145 + ... + 3146093566.

It is an arithmetic number, because the mean of its divisors is an integer number (7267438692360).

Almost surely, 2^{102002120020021} is an apocalyptic number.

It is an amenable number.

102002120020021 is a deficient number, since it is larger than the sum of its proper divisors (14276899057739).

102002120020021 is a wasteful number, since it uses less digits than its factorization.

102002120020021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6292154796.

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

Adding to 102002120020021 its reverse (120020021200201), we get a palindrome (222022141220222).

The spelling of 102002120020021 in words is "one hundred two trillion, two billion, one hundred twenty million, twenty thousand, twenty-one".