102101110101221 has 32 divisors (see below), whose sum is σ = 134795543378688. Its totient is φ = 74872281738240.

The previous prime is 102101110101161. The next prime is 102101110101257. The reversal of 102101110101221 is 122101011101201.

It is not a de Polignac number, because 102101110101221 - 2³⁰ = 102100036359397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102101110101196 and 102101110101205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101110101121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10217711 + ... + 17567123.

It is an arithmetic number, because the mean of its divisors is an integer number (4212360730584).

Almost surely, 2^{102101110101221} is an apocalyptic number.

102101110101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101110101221 is a deficient number, since it is larger than the sum of its proper divisors (32694433277467).

102101110101221 is a wasteful number, since it uses less digits than its factorization.

102101110101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7360061.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102101110101221 its reverse (122101011101201), we get a palindrome (224202121202422).

The spelling of 102101110101221 in words is "one hundred two trillion, one hundred one billion, one hundred ten million, one hundred one thousand, two hundred twenty-one".