211012009975 has 72 divisors (see below), whose sum is σ = 300362204160. Its totient is φ = 146479656960.

The previous prime is 211012009969. The next prime is 211012010057. The reversal of 211012009975 is 579900210112.

It is not a de Polignac number, because 211012009975 - 2¹⁹ = 211011485687 is a prime.

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 71 ways as a sum of consecutive naturals, for example, 91863027 + ... + 91865323.

It is an arithmetic number, because the mean of its divisors is an integer number (4171697280).

Almost surely, 2^211012009975 is an apocalyptic number.

211012009975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

211012009975 is a deficient number, since it is larger than the sum of its proper divisors (89350194185).

211012009975 is a wasteful number, since it uses less digits than its factorization.

211012009975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 37.

The spelling of 211012009975 in words is "two hundred eleven billion, twelve million, nine thousand, nine hundred seventy-five".