10001100100212 has 72 divisors (see below), whose sum is σ = 27225606670080. Its totient is φ = 3077217518400.

The previous prime is 10001100100157. The next prime is 10001100100241. The reversal of 10001100100212 is 21200100110001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001100100194 and 10001100100203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50422089 + ... + 50620047.

Almost surely, 2^{10001100100212} is an apocalyptic number.

10001100100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001100100212 is an abundant number, since it is smaller than the sum of its proper divisors (17224506569868).

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

10001100100212 is a wasteful number, since it uses less digits than its factorization.

10001100100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305933 (or 305928 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001100100212 its reverse (21200100110001), we get a palindrome (31201200210213).

The spelling of 10001100100212 in words is "ten trillion, one billion, one hundred million, one hundred thousand, two hundred twelve".