102012021222012 has 144 divisors (see below), whose sum is σ = 284556217929984. Its totient is φ = 30557389824000.

The previous prime is 102012021221963. The next prime is 102012021222017. The reversal of 102012021222012 is 210222120210201.

It is a happy number.

102012021222012 is a `hidden beast` number, since 1 + 0 + 201 + 20 + 212 + 220 + 12 = 666.

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 (102012021222017) 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, 9506337 + ... + 17157927.

It is an arithmetic number, because the mean of its divisors is an integer number (1976084846736).

Almost surely, 2^{102012021222012} is an apocalyptic number.

102012021222012 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 102012021222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142278108964992).

102012021222012 is an abundant number, since it is smaller than the sum of its proper divisors (182544196707972).

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

102012021222012 is a wasteful number, since it uses less digits than its factorization.

102012021222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7652000 (or 7651995 counting only the distinct ones).

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

Adding to 102012021222012 its reverse (210222120210201), we get a palindrome (312234141432213).

The spelling of 102012021222012 in words is "one hundred two trillion, twelve billion, twenty-one million, two hundred twenty-two thousand, twelve".