102122010012 has 96 divisors (see below), whose sum is σ = 269935916544. Its totient is φ = 29777587200.

The previous prime is 102122010007. The next prime is 102122010041. The reversal of 102122010012 is 210010221201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 102122010012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265833 + ... + 524319.

It is an arithmetic number, because the mean of its divisors is an integer number (2811832464).

Almost surely, 2^102122010012 is an apocalyptic number.

102122010012 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 102122010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134967958272).

102122010012 is an abundant number, since it is smaller than the sum of its proper divisors (167813906532).

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

102122010012 is a wasteful number, since it uses less digits than its factorization.

102122010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258619 (or 258617 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102122010012 its reverse (210010221201), we get a palindrome (312132231213).

The spelling of 102122010012 in words is "one hundred two billion, one hundred twenty-two million, ten thousand, twelve".