102101002122222 has 48 divisors (see below), whose sum is σ = 230897432982528. Its totient is φ = 32545426914000.

The previous prime is 102101002122209. The next prime is 102101002122227. The reversal of 102101002122222 is 222221200101201.

It is a happy number.

102101002122222 is a `hidden beast` number, since 10 + 210 + 10 + 0 + 212 + 2 + 222 = 666.

It is a super-2 number, since 2×102101002122222² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102101002122195 and 102101002122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101002122227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30672154 + ... + 33837597.

It is an arithmetic number, because the mean of its divisors is an integer number (4810363187136).

Almost surely, 2^{102101002122222} is an apocalyptic number.

102101002122222 is an abundant number, since it is smaller than the sum of its proper divisors (128796430860306).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102101002122222 is a wasteful number, since it uses less digits than its factorization.

102101002122222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64513605 (or 64513602 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102101002122222 its reverse (222221200101201), we get a palindrome (324322202223423).

The spelling of 102101002122222 in words is "one hundred two trillion, one hundred one billion, two million, one hundred twenty-two thousand, two hundred twenty-two".