211101101102000 has 80 divisors (see below), whose sum is σ = 510480713875392. Its totient is φ = 84434112665600.

The previous prime is 211101101101973. The next prime is 211101101102053. The reversal of 211101101102000 is 201101101112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×211101101102000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22785824 + ... + 30682176.

Almost surely, 2^{211101101102000} is an apocalyptic number.

211101101102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211101101102000 is an abundant number, since it is smaller than the sum of its proper divisors (299379612773392).

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

211101101102000 is a wasteful number, since it uses less digits than its factorization.

211101101102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7909743 (or 7909727 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 211101101102000 its reverse (201101101112), we get a palindrome (211302202203112).

It can be divided in two parts, 211101 and 101102000, that added together give a palindrome (101313101).

The spelling of 211101101102000 in words is "two hundred eleven trillion, one hundred one billion, one hundred one million, one hundred two thousand".