102121101100221 has 32 divisors (see below), whose sum is σ = 155813659668480. Its totient is φ = 58279728686976.

The previous prime is 102121101100189. The next prime is 102121101100267. The reversal of 102121101100221 is 122001101121201.

It is a happy number.

It is not a de Polignac number, because 102121101100221 - 2⁵ = 102121101100189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102121101100221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121101102221) 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, 115924065 + ... + 116801673.

It is an arithmetic number, because the mean of its divisors is an integer number (4869176864640).

Almost surely, 2^{102121101100221} is an apocalyptic number.

It is an amenable number.

102121101100221 is a deficient number, since it is larger than the sum of its proper divisors (53692558568259).

102121101100221 is an equidigital number, since it uses as much as digits as its factorization.

102121101100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884753.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102121101100221 its reverse (122001101121201), we get a palindrome (224122202221422).

The spelling of 102121101100221 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred one million, one hundred thousand, two hundred twenty-one".