102120211221012 has 144 divisors (see below), whose sum is σ = 274310054928000. Its totient is φ = 31971664085760.

The previous prime is 102120211221011. The next prime is 102120211221053. The reversal of 102120211221012 is 210122112021201.

102120211221012 is a `hidden beast` number, since 10 + 212 + 0 + 211 + 221 + 0 + 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 (102120211221011) 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, 196704937 + ... + 197223407.

It is an arithmetic number, because the mean of its divisors is an integer number (1904930937000).

Almost surely, 2^{102120211221012} is an apocalyptic number.

102120211221012 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 102120211221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137155027464000).

102120211221012 is an abundant number, since it is smaller than the sum of its proper divisors (172189843706988).

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

102120211221012 is a wasteful number, since it uses less digits than its factorization.

102120211221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523646 (or 523641 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102120211221012 its reverse (210122112021201), we get a palindrome (312242323242213).

The spelling of 102120211221012 in words is "one hundred two trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty-one thousand, twelve".