102101221221201 has 12 divisors (see below), whose sum is σ = 147548425276980. Its totient is φ = 68035688423520.

The previous prime is 102101221221191. The next prime is 102101221221253. The reversal of 102101221221201 is 102122122101201.

102101221221201 is a `hidden beast` number, since 1 + 0 + 21 + 0 + 1 + 221 + 221 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79916895140625 + 22184326080576 = 8939625^2 + 4710024^2 .

It is not a de Polignac number, because 102101221221201 - 2¹⁵ = 102101221188433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102101221221281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2649345546 + ... + 2649384083.

It is an arithmetic number, because the mean of its divisors is an integer number (12295702106415).

Almost surely, 2^{102101221221201} is an apocalyptic number.

It is an amenable number.

102101221221201 is a deficient number, since it is larger than the sum of its proper divisors (45447204055779).

102101221221201 is a wasteful number, since it uses less digits than its factorization.

102101221221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298731776 (or 5298731773 counting only the distinct ones).

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

Adding to 102101221221201 its reverse (102122122101201), we get a palindrome (204223343322402).

The spelling of 102101221221201 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred one".