10010112002000 has 160 divisors (see below), whose sum is σ = 26407704405888. Its totient is φ = 3639648000000.

The previous prime is 10010112001997. The next prime is 10010112002003. The reversal of 10010112002000 is 20021101001.

It is an interprime number because it is at equal distance from previous prime (10010112001997) and next prime (10010112002003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010112002003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272803655 + ... + 272840345.

Almost surely, 2^{10010112002000} is an apocalyptic number.

10010112002000 is a gapful number since it is divisible by the number (10) 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 10010112002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13203852202944).

10010112002000 is an abundant number, since it is smaller than the sum of its proper divisors (16397592403888).

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

10010112002000 is a wasteful number, since it uses less digits than its factorization.

10010112002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49126 (or 49110 counting only the distinct ones).

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

Adding to 10010112002000 its reverse (20021101001), we get a palindrome (10030133103001).

Subtracting from 10010112002000 its reverse (20021101001), we obtain a palindrome (9990090900999).

The spelling of 10010112002000 in words is "ten trillion, ten billion, one hundred twelve million, two thousand".