102201101212221 has 96 divisors (see below), whose sum is σ = 175195490198400. Its totient is φ = 58676213376000.

The previous prime is 102201101212121. The next prime is 102201101212253. The reversal of 102201101212221 is 122212101102201.

102201101212221 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 10 + 1 + 212 + 221 = 666.

It is not a de Polignac number, because 102201101212221 - 2⁹ = 102201101211709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102201101212194 and 102201101212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201101212271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1142160535 + ... + 1142250011.

It is an arithmetic number, because the mean of its divisors is an integer number (1824953022900).

Almost surely, 2^{102201101212221} is an apocalyptic number.

102201101212221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102201101212221 is a deficient number, since it is larger than the sum of its proper divisors (72994388986179).

102201101212221 is a wasteful number, since it uses less digits than its factorization.

102201101212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107928 (or 107911 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102201101212221 its reverse (122212101102201), we get a palindrome (224413202314422).

The spelling of 102201101212221 in words is "one hundred two trillion, two hundred one billion, one hundred one million, two hundred twelve thousand, two hundred twenty-one".