102020020200112 has 160 divisors (see below), whose sum is σ = 234657032417280. Its totient is φ = 42046339092480.

The previous prime is 102020020200103. The next prime is 102020020200121. The reversal of 102020020200112 is 211002020020201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102020020200103) and next prime (102020020200121).

It is a junction number, because it is equal to n+sod(n) for n = 102020020200092 and 102020020200101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 890535028 + ... + 890649580.

It is an arithmetic number, because the mean of its divisors is an integer number (1466606452608).

Almost surely, 2^{102020020200112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020020200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117328516208640).

102020020200112 is an abundant number, since it is smaller than the sum of its proper divisors (132637012217168).

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

102020020200112 is a wasteful number, since it uses less digits than its factorization.

102020020200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116211 (or 116205 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102020020200112 its reverse (211002020020201), we get a palindrome (313022040220313).

The spelling of 102020020200112 in words is "one hundred two trillion, twenty billion, twenty million, two hundred thousand, one hundred twelve".