102011020221 has 16 divisors (see below), whose sum is σ = 148391493120. Its totient is φ = 61819932720.

The previous prime is 102011020213. The next prime is 102011020253. The reversal of 102011020221 is 122020110201.

It is not a de Polignac number, because 102011020221 - 2³ = 102011020213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102011020197 and 102011020206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011020211) 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, 320976 + ... + 554118.

It is an arithmetic number, because the mean of its divisors is an integer number (9274468320).

Almost surely, 2^102011020221 is an apocalyptic number.

102011020221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102011020221 is a deficient number, since it is larger than the sum of its proper divisors (46380472899).

102011020221 is a wasteful number, since it uses less digits than its factorization.

102011020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246416.

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

Adding to 102011020221 its reverse (122020110201), we get a palindrome (224031130422).

The spelling of 102011020221 in words is "one hundred two billion, eleven million, twenty thousand, two hundred twenty-one".