10210100002112 has 56 divisors (see below), whose sum is σ = 20398420645800. Its totient is φ = 5070346444800.

The previous prime is 10210100002111. The next prime is 10210100002117. The reversal of 10210100002112 is 21120000101201.

It can be written as a sum of positive squares in 4 ways, for example, as 27006320896 + 10183093681216 = 164336^2 + 3191096^2 .

It is a super-2 number, since 2×10210100002112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10210100002093 and 10210100002102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210100002111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127904612 + ... + 127984412.

Almost surely, 2^{10210100002112} is an apocalyptic number.

It is an amenable number.

10210100002112 is a deficient number, since it is larger than the sum of its proper divisors (10188320643688).

10210100002112 is a wasteful number, since it uses less digits than its factorization.

10210100002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93379 (or 93369 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10210100002112 its reverse (21120000101201), we get a palindrome (31330100103313).

The spelling of 10210100002112 in words is "ten trillion, two hundred ten billion, one hundred million, two thousand, one hundred twelve".