211101200000 has 96 divisors (see below), whose sum is σ = 525658816620. Its totient is φ = 84440320000.

The previous prime is 211101199979. The next prime is 211101200021. The reversal of 211101200000 is 2101112.

It is an interprime number because it is at equal distance from previous prime (211101199979) and next prime (211101200021).

It can be written as a sum of positive squares in 6 ways, for example, as 65745062464 + 145356137536 = 256408^2 + 381256^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136124 + ... + 663876.

Almost surely, 2^211101200000 is an apocalyptic number.

211101200000 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 211101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262829408310).

211101200000 is an abundant number, since it is smaller than the sum of its proper divisors (314557616620).

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

211101200000 is an frugal number, since it uses more digits than its factorization.

211101200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527792 (or 527760 counting only the distinct ones).

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

Adding to 211101200000 its reverse (2101112), we get a palindrome (211103301112).

The spelling of 211101200000 in words is "two hundred eleven billion, one hundred one million, two hundred thousand".