10200101000012 has 96 divisors (see below), whose sum is σ = 22806541954560. Its totient is φ = 3908915841600.

The previous prime is 10200100999993. The next prime is 10200101000041. The reversal of 10200101000012 is 21000010100201.

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, 29939 + ... + 4516757.

It is an arithmetic number, because the mean of its divisors is an integer number (237568145360).

Almost surely, 2^{10200101000012} 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 10200101000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11403270977280).

10200101000012 is an abundant number, since it is smaller than the sum of its proper divisors (12606440954548).

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

10200101000012 is a wasteful number, since it uses less digits than its factorization.

10200101000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486924 (or 4486900 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10200101000012 its reverse (21000010100201), we get a palindrome (31200111100213).

The spelling of 10200101000012 in words is "ten trillion, two hundred billion, one hundred one million, twelve", and thus it is an aban number.