10100000212112 has 40 divisors (see below), whose sum is σ = 20779222779000. Its totient is φ = 4739322488832.

The previous prime is 10100000212091. The next prime is 10100000212121. The reversal of 10100000212112 is 21121200000101.

It can be written as a sum of positive squares in 4 ways, for example, as 7196643214336 + 2903356997776 = 2682656^2 + 1703924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10100000212093 and 10100000212102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53103287 + ... + 53293142.

It is an arithmetic number, because the mean of its divisors is an integer number (519480569475).

Almost surely, 2^{10100000212112} is an apocalyptic number.

It is an amenable number.

10100000212112 is an abundant number, since it is smaller than the sum of its proper divisors (10679222566888).

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

10100000212112 is a wasteful number, since it uses less digits than its factorization.

10100000212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106396803 (or 106396797 counting only the distinct ones).

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

Adding to 10100000212112 its reverse (21121200000101), we get a palindrome (31221200212213).

The spelling of 10100000212112 in words is "ten trillion, one hundred billion, two hundred twelve thousand, one hundred twelve".