211000120100 has 432 divisors, whose sum is σ = 593716749696. Its totient is φ = 64538880000.

The previous prime is 211000120081. The next prime is 211000120109. The reversal of 211000120100 is 1021000112.

It is not an unprimeable number, because it can be changed into a prime (211000120109) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1867257644 + ... + 1867257756.

It is an arithmetic number, because the mean of its divisors is an integer number (1374344328).

Almost surely, 2^211000120100 is an apocalyptic number.

211000120100 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 211000120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296858374848).

211000120100 is an abundant number, since it is smaller than the sum of its proper divisors (382716629596).

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

211000120100 is a wasteful number, since it uses less digits than its factorization.

211000120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 211000120100 its reverse (1021000112), we get a palindrome (212021120212).

The spelling of 211000120100 in words is "two hundred eleven billion, one hundred twenty thousand, one hundred".