102202122110022 has 96 divisors (see below), whose sum is σ = 243547342811136. Its totient is φ = 30717686764800.

The previous prime is 102202122110021. The next prime is 102202122110107. The reversal of 102202122110022 is 220011221202201.

It is a happy number.

102202122110022 is a `hidden beast` number, since 1 + 0 + 220 + 212 + 211 + 0 + 0 + 22 = 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 = 102202122109977 and 102202122110004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202122110021) 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, 7695118 + ... + 16236350.

It is an arithmetic number, because the mean of its divisors is an integer number (2536951487616).

Almost surely, 2^{102202122110022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202122110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121773671405568).

102202122110022 is an abundant number, since it is smaller than the sum of its proper divisors (141345220701114).

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

102202122110022 is a wasteful number, since it uses less digits than its factorization.

102202122110022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8541746 (or 8541743 counting only the distinct ones).

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

Adding to 102202122110022 its reverse (220011221202201), we get a palindrome (322213343312223).

The spelling of 102202122110022 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-two million, one hundred ten thousand, twenty-two".