102121222200012 has 72 divisors (see below), whose sum is σ = 258811119141120. Its totient is φ = 33951881272320.

The previous prime is 102121222200007. The next prime is 102121222200073. The reversal of 102121222200012 is 210002222121201.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574397212 + ... + 574574972.

It is an arithmetic number, because the mean of its divisors is an integer number (3594598876960).

Almost surely, 2^{102121222200012} is an apocalyptic number.

102121222200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102121222200012 is an abundant number, since it is smaller than the sum of its proper divisors (156689896941108).

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

102121222200012 is a wasteful number, since it uses less digits than its factorization.

102121222200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219183 (or 219178 counting only the distinct ones).

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

Adding to 102121222200012 its reverse (210002222121201), we get a palindrome (312123444321213).

The spelling of 102121222200012 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred thousand, twelve".