10210112002000 has 80 divisors (see below), whose sum is σ = 25290198604944. Its totient is φ = 3984433920000.

The previous prime is 10210112001949. The next prime is 10210112002001. The reversal of 10210112002000 is 20021101201.

It can be written as a sum of positive squares in 8 ways, for example, as 3679000197184 + 6531111804816 = 1918072^2 + 2555604^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210112002001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62174781 + ... + 62338780.

Almost surely, 2^{10210112002000} is an apocalyptic number.

10210112002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210112002000 is an abundant number, since it is smaller than the sum of its proper divisors (15080086602944).

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

10210112002000 is a wasteful number, since it uses less digits than its factorization.

10210112002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124513625 (or 124513609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10210112002000 its reverse (20021101201), we get a palindrome (10230133103201).

The spelling of 10210112002000 in words is "ten trillion, two hundred ten billion, one hundred twelve million, two thousand".