102121222220112 has 80 divisors (see below), whose sum is σ = 270969212138240. Its totient is φ = 33117221869056.

The previous prime is 102121222220107. The next prime is 102121222220189. The reversal of 102121222220112 is 211022222121201.

It is a super-3 number, since 3×102121222220112³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15814089 + ... + 21314967.

It is an arithmetic number, because the mean of its divisors is an integer number (3387115151728).

Almost surely, 2^{102121222220112} is an apocalyptic number.

102121222220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102121222220112 is an abundant number, since it is smaller than the sum of its proper divisors (168847989918128).

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

102121222220112 is a wasteful number, since it uses less digits than its factorization.

102121222220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511380 (or 5511374 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 102121222220112 its reverse (211022222121201), we get a palindrome (313143444341313).

The spelling of 102121222220112 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred twenty thousand, one hundred twelve".