102020122220112 has 240 divisors, whose sum is σ = 301482025790400. Its totient is φ = 32116168949760.

The previous prime is 102020122220111. The next prime is 102020122220129. The reversal of 102020122220112 is 211022221020201.

It is a happy number.

102020122220112 is a `hidden beast` number, since 10 + 20 + 201 + 222 + 201 + 12 = 666.

It is a super-3 number, since 3×102020122220112³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020122220111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2220074128 + ... + 2220120080.

It is an arithmetic number, because the mean of its divisors is an integer number (1256175107460).

Almost surely, 2^{102020122220112} is an apocalyptic number.

102020122220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020122220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150741012895200).

102020122220112 is an abundant number, since it is smaller than the sum of its proper divisors (199461903570288).

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

102020122220112 is a wasteful number, since it uses less digits than its factorization.

102020122220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48506 (or 48497 counting only the distinct ones).

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

Adding to 102020122220112 its reverse (211022221020201), we get a palindrome (313042343240313).

The spelling of 102020122220112 in words is "one hundred two trillion, twenty billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twelve".