100210020012112 has 20 divisors (see below), whose sum is σ = 205577908701876. Its totient is φ = 47157656476160.

The previous prime is 100210020012107. The next prime is 100210020012127. The reversal of 100210020012112 is 211210020012001.

It can be written as a sum of positive squares in 2 ways, for example, as 64760904277056 + 35449115735056 = 8047416^2 + 5953916^2 .

It is a super-2 number, since 2×100210020012112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100210020012092 and 100210020012101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 184209595339 + ... + 184209595882.

Almost surely, 2^{100210020012112} is an apocalyptic number.

It is an amenable number.

100210020012112 is an abundant number, since it is smaller than the sum of its proper divisors (105367888689764).

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

100210020012112 is a wasteful number, since it uses less digits than its factorization.

100210020012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368419191246 (or 368419191240 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100210020012112 its reverse (211210020012001), we get a palindrome (311420040024113).

The spelling of 100210020012112 in words is "one hundred trillion, two hundred ten billion, twenty million, twelve thousand, one hundred twelve".