102112002202122 has 128 divisors (see below), whose sum is σ = 250999745483520. Its totient is φ = 30511311621120.

The previous prime is 102112002202103. The next prime is 102112002202141. The reversal of 102112002202122 is 221202200211201.

It is a happy number.

102112002202122 is a `hidden beast` number, since 1 + 0 + 211 + 20 + 0 + 220 + 212 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (102112002202103) and next prime (102112002202141).

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 = 102112002202095 and 102112002202104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169548358 + ... + 170149550.

It is an arithmetic number, because the mean of its divisors is an integer number (1960935511590).

Almost surely, 2^{102112002202122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102112002202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125499872741760).

102112002202122 is an abundant number, since it is smaller than the sum of its proper divisors (148887743281398).

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

102112002202122 is a wasteful number, since it uses less digits than its factorization.

102112002202122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605205 (or 605199 counting only the distinct ones).

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

Adding to 102112002202122 its reverse (221202200211201), we get a palindrome (323314202413323).

The spelling of 102112002202122 in words is "one hundred two trillion, one hundred twelve billion, two million, two hundred two thousand, one hundred twenty-two".