10212012100100 has 18 divisors (see below), whose sum is σ = 22160066257434. Its totient is φ = 4084804840000.

The previous prime is 10212012100097. The next prime is 10212012100117. The reversal of 10212012100100 is 100121021201.

It can be written as a sum of positive squares in 3 ways, for example, as 10797703744 + 10201214396356 = 103912^2 + 3193934^2 .

It is a super-2 number, since 2×10212012100100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51060060401 + ... + 51060060600.

Almost surely, 2^{10212012100100} is an apocalyptic number.

10212012100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212012100100 is an abundant number, since it is smaller than the sum of its proper divisors (11948054157334).

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

10212012100100 is a wasteful number, since it uses less digits than its factorization.

10212012100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102120121015 (or 102120121008 counting only the distinct ones).

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

Adding to 10212012100100 its reverse (100121021201), we get a palindrome (10312133121301).

The spelling of 10212012100100 in words is "ten trillion, two hundred twelve billion, twelve million, one hundred thousand, one hundred".