100102211121221 has 16 divisors (see below), whose sum is σ = 101750637172800. Its totient is φ = 98467105016448.

The previous prime is 100102211121103. The next prime is 100102211121223. The reversal of 100102211121221 is 122121112201001.

It is a cyclic number.

It is not a de Polignac number, because 100102211121221 - 2³⁸ = 99827333214277 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100102211121221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102211121223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568180481 + ... + 568356633.

It is an arithmetic number, because the mean of its divisors is an integer number (6359414823300).

Almost surely, 2^{100102211121221} is an apocalyptic number.

It is an amenable number.

100102211121221 is a deficient number, since it is larger than the sum of its proper divisors (1648426051579).

100102211121221 is a wasteful number, since it uses less digits than its factorization.

100102211121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213908.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100102211121221 its reverse (122121112201001), we get a palindrome (222223323322222).

The spelling of 100102211121221 in words is "one hundred trillion, one hundred two billion, two hundred eleven million, one hundred twenty-one thousand, two hundred twenty-one".