102012101210012 has 96 divisors (see below), whose sum is σ = 208264426352640. Its totient is φ = 42814028874240.

The previous prime is 102012101209987. The next prime is 102012101210051. The reversal of 102012101210012 is 210012101210201.

It is a super-3 number, since 3×102012101210012³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 1750620437 + ... + 1750678707.

It is an arithmetic number, because the mean of its divisors is an integer number (2169421107840).

Almost surely, 2^{102012101210012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102012101210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104132213176320).

102012101210012 is an abundant number, since it is smaller than the sum of its proper divisors (106252325142628).

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

102012101210012 is a wasteful number, since it uses less digits than its factorization.

102012101210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60531 (or 60529 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102012101210012 its reverse (210012101210201), we get a palindrome (312024202420213).

The spelling of 102012101210012 in words is "one hundred two trillion, twelve billion, one hundred one million, two hundred ten thousand, twelve".