102212100011121 has 32 divisors (see below), whose sum is σ = 138573615423360. Its totient is φ = 67001761419264.

The previous prime is 102212100011111. The next prime is 102212100011209. The reversal of 102212100011121 is 121110001212201.

It is a happy number.

It is not a de Polignac number, because 102212100011121 - 2⁶ = 102212100011057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102212100011121.

It is not an unprimeable number, because it can be changed into a prime (102212100011101) 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, 791767846 + ... + 791896928.

It is an arithmetic number, because the mean of its divisors is an integer number (4330425481980).

Almost surely, 2^{102212100011121} is an apocalyptic number.

It is an amenable number.

102212100011121 is a deficient number, since it is larger than the sum of its proper divisors (36361515412239).

102212100011121 is a wasteful number, since it uses less digits than its factorization.

102212100011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140225.

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

Adding to 102212100011121 its reverse (121110001212201), we get a palindrome (223322101223322).

The spelling of 102212100011121 in words is "one hundred two trillion, two hundred twelve billion, one hundred million, eleven thousand, one hundred twenty-one".