20100012002112 has 224 divisors, whose sum is σ = 63120315630592. Its totient is φ = 5525583630336.

The previous prime is 20100012002101. The next prime is 20100012002131. The reversal of 20100012002112 is 21120021000102.

It is a tau number, because it is divible by the number of its divisors (224).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1276548 + ... + 6467580.

Almost surely, 2^{20100012002112} 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 20100012002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31560157815296).

20100012002112 is an abundant number, since it is smaller than the sum of its proper divisors (43020303628480).

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

20100012002112 is a wasteful number, since it uses less digits than its factorization.

20100012002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5191165 (or 5191155 counting only the distinct ones).

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

Adding to 20100012002112 its reverse (21120021000102), we get a palindrome (41220033002214).

The spelling of 20100012002112 in words is "twenty trillion, one hundred billion, twelve million, two thousand, one hundred twelve".