211980772610100 has 576 divisors, whose sum is σ = 738742797434880. Its totient is φ = 51836710233600.

The previous prime is 211980772610083. The next prime is 211980772610111. The reversal of 211980772610100 is 1016277089112.

It is a happy number.

211980772610100 is a `hidden beast` number, since 2 + 1 + 19 + 8 + 0 + 7 + 7 + 2 + 610 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3300666589 + ... + 3300730811.

It is an arithmetic number, because the mean of its divisors is an integer number (1282539578880).

Almost surely, 2^{211980772610100} is an apocalyptic number.

211980772610100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211980772610100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369371398717440).

211980772610100 is an abundant number, since it is smaller than the sum of its proper divisors (526762024824780).

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

211980772610100 is a wasteful number, since it uses less digits than its factorization.

211980772610100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64877 (or 64864 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 211980772610100 in words is "two hundred eleven trillion, nine hundred eighty billion, seven hundred seventy-two million, six hundred ten thousand, one hundred".