1000102122012 has 144 divisors (see below), whose sum is σ = 2779828837632. Its totient is φ = 278883601920.

The previous prime is 1000102122007. The next prime is 1000102122023. The reversal of 1000102122012 is 2102212010001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34396993 + ... + 34426055.

It is an arithmetic number, because the mean of its divisors is an integer number (19304366928).

Almost surely, 2^{1000102122012} is an apocalyptic number.

1000102122012 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 1000102122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389914418816).

1000102122012 is an abundant number, since it is smaller than the sum of its proper divisors (1779726715620).

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

1000102122012 is a wasteful number, since it uses less digits than its factorization.

1000102122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30488 (or 30479 counting only the distinct ones).

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

Adding to 1000102122012 its reverse (2102212010001), we get a palindrome (3102314132013).

The spelling of 1000102122012 in words is "one trillion, one hundred two million, one hundred twenty-two thousand, twelve".