1102100000211 has 72 divisors (see below), whose sum is σ = 1966544583120. Its totient is φ = 591345183744.

The previous prime is 1102100000203. The next prime is 1102100000219. The reversal of 1102100000211 is 1120000012011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1102100000203) and next prime (1102100000219).

It is not a de Polignac number, because 1102100000211 - 2³ = 1102100000203 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 = 1102100000193 and 1102100000202.

It is not an unprimeable number, because it can be changed into a prime (1102100000219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 364831 + ... + 1528823.

It is an arithmetic number, because the mean of its divisors is an integer number (27313119210).

Almost surely, 2^{1102100000211} is an apocalyptic number.

1102100000211 is a deficient number, since it is larger than the sum of its proper divisors (864444582909).

1102100000211 is a wasteful number, since it uses less digits than its factorization.

1102100000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164145 (or 1164135 counting only the distinct ones).

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

Adding to 1102100000211 its reverse (1120000012011), we get a palindrome (2222100012222).

The spelling of 1102100000211 in words is "one trillion, one hundred two billion, one hundred million, two hundred eleven", and thus it is an aban number.