102002220220122 has 48 divisors (see below), whose sum is σ = 227058952214952. Its totient is φ = 33069989836800.

The previous prime is 102002220220091. The next prime is 102002220220123. The reversal of 102002220220122 is 221022022200201.

102002220220122 is a `hidden beast` number, since 1 + 0 + 200 + 2 + 220 + 220 + 1 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92463628871601 + 9538591348521 = 9615801^2 + 3088461^2 .

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 = 102002220220095 and 102002220220104.

It is not an unprimeable number, because it can be changed into a prime (102002220220123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25474143 + ... + 29205074.

Almost surely, 2^{102002220220122} is an apocalyptic number.

102002220220122 is an abundant number, since it is smaller than the sum of its proper divisors (125056731994830).

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

102002220220122 is a wasteful number, since it uses less digits than its factorization.

102002220220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54682063 (or 54682060 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102002220220122 its reverse (221022022200201), we get a palindrome (323024242420323).

The spelling of 102002220220122 in words is "one hundred two trillion, two billion, two hundred twenty million, two hundred twenty thousand, one hundred twenty-two".