102100000001221 has 16 divisors (see below), whose sum is σ = 109196305720128. Its totient is φ = 95125202208000.

The previous prime is 102100000001189. The next prime is 102100000001243. The reversal of 102100000001221 is 122100000001201.

It is a cyclic number.

It is not a de Polignac number, because 102100000001221 - 2⁵ = 102100000001189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102100000001198 and 102100000001207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100070001221) 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, 3883186 + ... + 14808076.

It is an arithmetic number, because the mean of its divisors is an integer number (6824769107508).

Almost surely, 2^{102100000001221} is an apocalyptic number.

It is an amenable number.

102100000001221 is a deficient number, since it is larger than the sum of its proper divisors (7096305718907).

102100000001221 is a wasteful number, since it uses less digits than its factorization.

102100000001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10930452.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102100000001221 its reverse (122100000001201), we get a palindrome (224200000002422).

The spelling of 102100000001221 in words is "one hundred two trillion, one hundred billion, one thousand, two hundred twenty-one".