1000101100212 has 36 divisors (see below), whose sum is σ = 2528082946116. Its totient is φ = 333360491520.

The previous prime is 1000101100199. The next prime is 1000101100223. The reversal of 1000101100212 is 2120011010001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27045118116 + 973055982096 = 164454^2 + 986436^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1000101100194 and 1000101100203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1804162 + ... + 2292422.

It is an arithmetic number, because the mean of its divisors is an integer number (70224526281).

Almost surely, 2^{1000101100212} is an apocalyptic number.

1000101100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000101100212 is an abundant number, since it is smaller than the sum of its proper divisors (1527981845904).

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

1000101100212 is a wasteful number, since it uses less digits than its factorization.

1000101100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545168 (or 545163 counting only the distinct ones).

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

Adding to 1000101100212 its reverse (2120011010001), we get a palindrome (3120112110213).

The spelling of 1000101100212 in words is "one trillion, one hundred one million, one hundred thousand, two hundred twelve".