211201112320100 has 288 divisors, whose sum is σ = 548202971430912. Its totient is φ = 69103368000000.

The previous prime is 211201112320091. The next prime is 211201112320111. The reversal of 211201112320100 is 1023211102112.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 974286725 + ... + 974503475.

Almost surely, 2^{211201112320100} is an apocalyptic number.

211201112320100 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 211201112320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274101485715456).

211201112320100 is an abundant number, since it is smaller than the sum of its proper divisors (337001859110812).

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

211201112320100 is a wasteful number, since it uses less digits than its factorization.

211201112320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217427 (or 217420 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 211201112320100 its reverse (1023211102112), we get a palindrome (212224323422212).

The spelling of 211201112320100 in words is "two hundred eleven trillion, two hundred one billion, one hundred twelve million, three hundred twenty thousand, one hundred".