211102121000 has 32 divisors (see below), whose sum is σ = 493978965480. Its totient is φ = 84440848000.

The previous prime is 211102120997. The next prime is 211102121003. The reversal of 211102121000 is 121201112.

It is an interprime number because it is at equal distance from previous prime (211102120997) and next prime (211102121003).

It can be written as a sum of positive squares in 4 ways, for example, as 37594883236 + 173507237764 = 193894^2 + 416542^2 .

It is not an unprimeable number, because it can be changed into a prime (211102121003) 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 7 ways as a sum of consecutive naturals, for example, 105550061 + ... + 105552060.

Almost surely, 2^211102121000 is an apocalyptic number.

211102121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211102121000 is an abundant number, since it is smaller than the sum of its proper divisors (282876844480).

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

211102121000 is a wasteful number, since it uses less digits than its factorization.

211102121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211102142 (or 211102128 counting only the distinct ones).

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

Adding to 211102121000 its reverse (121201112), we get a palindrome (211223322112).

The spelling of 211102121000 in words is "two hundred eleven billion, one hundred two million, one hundred twenty-one thousand".