100102021121221 has 6 divisors (see below), whose sum is σ = 116445208243110. Its totient is φ = 85801732389576.

The previous prime is 100102021121177. The next prime is 100102021121279. The reversal of 100102021121221 is 122121120201001.

It can be written as a sum of positive squares in only one way, i.e., 78224932604196 + 21877088517025 = 8844486^2 + 4677295^2 .

It is not a de Polignac number, because 100102021121221 - 2¹⁵ = 100102021088453 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102021121195 and 100102021121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102021101221) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1021449195066 + ... + 1021449195163.

It is an arithmetic number, because the mean of its divisors is an integer number (19407534707185).

Almost surely, 2^{100102021121221} is an apocalyptic number.

It is an amenable number.

100102021121221 is a deficient number, since it is larger than the sum of its proper divisors (16343187121889).

100102021121221 is an equidigital number, since it uses as much as digits as its factorization.

100102021121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042898390243 (or 2042898390236 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100102021121221 its reverse (122121120201001), we get a palindrome (222223141322222).

The spelling of 100102021121221 in words is "one hundred trillion, one hundred two billion, twenty-one million, one hundred twenty-one thousand, two hundred twenty-one".