102100102002221 has 16 divisors (see below), whose sum is σ = 106841506172928. Its totient is φ = 97449292598400.

The previous prime is 102100102002211. The next prime is 102100102002307. The reversal of 102100102002221 is 122200201001201.

It is a cyclic number.

It is not a de Polignac number, because 102100102002221 - 2¹⁴ = 102100101985837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100102002196 and 102100102002205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100102002211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58973636 + ... + 60680226.

It is an arithmetic number, because the mean of its divisors is an integer number (6677594135808).

Almost surely, 2^{102100102002221} is an apocalyptic number.

It is an amenable number.

102100102002221 is a deficient number, since it is larger than the sum of its proper divisors (4741404170707).

102100102002221 is a wasteful number, since it uses less digits than its factorization.

102100102002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733132.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102100102002221 its reverse (122200201001201), we get a palindrome (224300303003422).

The spelling of 102100102002221 in words is "one hundred two trillion, one hundred billion, one hundred two million, two thousand, two hundred twenty-one".