102222111202101 has 36 divisors (see below), whose sum is σ = 162377619820416. Its totient is φ = 61922229544560.

The previous prime is 102222111202069. The next prime is 102222111202151. The reversal of 102222111202101 is 101202111222201.

102222111202101 is a `hidden beast` number, since 1 + 0 + 222 + 211 + 1 + 20 + 210 + 1 = 666.

It is not a de Polignac number, because 102222111202101 - 2⁵ = 102222111202069 is a prime.

It is a super-2 number, since 2×102222111202101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222111202151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20946981 + ... + 25361786.

It is an arithmetic number, because the mean of its divisors is an integer number (4510489439456).

Almost surely, 2^{102222111202101} is an apocalyptic number.

102222111202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102222111202101 is a deficient number, since it is larger than the sum of its proper divisors (60155508618315).

102222111202101 is a wasteful number, since it uses less digits than its factorization.

102222111202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46310822 (or 46310808 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102222111202101 its reverse (101202111222201), we get a palindrome (203424222424302).

The spelling of 102222111202101 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred eleven million, two hundred two thousand, one hundred one".