102101111221122 has 96 divisors (see below), whose sum is σ = 241368637910400. Its totient is φ = 31003445558016.

The previous prime is 102101111221121. The next prime is 102101111221127. The reversal of 102101111221122 is 221122111101201.

It is a happy number.

102101111221122 is a `hidden beast` number, since 1 + 0 + 210 + 1 + 111 + 221 + 122 = 666.

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 = 102101111221095 and 102101111221104.

It is not an unprimeable number, because it can be changed into a prime (102101111221121) 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 47 ways as a sum of consecutive naturals, for example, 14988654 + ... + 20708982.

It is an arithmetic number, because the mean of its divisors is an integer number (2514256644900).

Almost surely, 2^{102101111221122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101111221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120684318955200).

102101111221122 is an abundant number, since it is smaller than the sum of its proper divisors (139267526689278).

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

102101111221122 is a wasteful number, since it uses less digits than its factorization.

102101111221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5721352 (or 5721349 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102101111221122 its reverse (221122111101201), we get a palindrome (323223222322323).

The spelling of 102101111221122 in words is "one hundred two trillion, one hundred one billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty-two".