1000100102211 has 48 divisors (see below), whose sum is σ = 1660845288960. Its totient is φ = 568066124160.

The previous prime is 1000100102201. The next prime is 1000100102219. The reversal of 1000100102211 is 1122010010001.

It is a happy number.

It is not a de Polignac number, because 1000100102211 - 2²¹ = 1000098005059 is a prime.

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 = 1000100102193 and 1000100102202.

It is not an unprimeable number, because it can be changed into a prime (1000100102219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30555591 + ... + 30588303.

It is an arithmetic number, because the mean of its divisors is an integer number (34600943520).

Almost surely, 2^{1000100102211} is an apocalyptic number.

1000100102211 is a deficient number, since it is larger than the sum of its proper divisors (660745186749).

1000100102211 is a wasteful number, since it uses less digits than its factorization.

1000100102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35616 (or 35613 counting only the distinct ones).

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

Adding to 1000100102211 its reverse (1122010010001), we get a palindrome (2122110112212).

The spelling of 1000100102211 in words is "one trillion, one hundred million, one hundred two thousand, two hundred eleven".