102122121012012 has 144 divisors (see below), whose sum is σ = 261013700787840. Its totient is φ = 33664695773184.

The previous prime is 102122121012011. The next prime is 102122121012059. The reversal of 102122121012012 is 210210121221201.

102122121012012 is a `hidden beast` number, since 10 + 21 + 221 + 210 + 1 + 201 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102122121012011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 808357483 + ... + 808483805.

It is an arithmetic number, because the mean of its divisors is an integer number (1812595144360).

Almost surely, 2^{102122121012012} is an apocalyptic number.

102122121012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102122121012012 is an abundant number, since it is smaller than the sum of its proper divisors (158891579775828).

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

102122121012012 is a wasteful number, since it uses less digits than its factorization.

102122121012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127212 (or 127207 counting only the distinct ones).

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

Adding to 102122121012012 its reverse (210210121221201), we get a palindrome (312332242233213).

The spelling of 102122121012012 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty-one million, twelve thousand, twelve".