100102212111201 has 16 divisors (see below), whose sum is σ = 134167004627520. Its totient is φ = 66386143918080.

The previous prime is 100102212111157. The next prime is 100102212111217. The reversal of 100102212111201 is 102111212201001.

It is a happy number.

100102212111201 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100102212111201 - 2²³ = 100102203722593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100102212111401) 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, 9602341 + ... + 17099981.

It is an arithmetic number, because the mean of its divisors is an integer number (8385437789220).

Almost surely, 2^{100102212111201} is an apocalyptic number.

It is an amenable number.

100102212111201 is a deficient number, since it is larger than the sum of its proper divisors (34064792516319).

100102212111201 is a wasteful number, since it uses less digits than its factorization.

100102212111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7520896.

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

Adding to 100102212111201 its reverse (102111212201001), we get a palindrome (202213424312202).

The spelling of 100102212111201 in words is "one hundred trillion, one hundred two billion, two hundred twelve million, one hundred eleven thousand, two hundred one".