211121102000 has 80 divisors (see below), whose sum is σ = 528094101600. Its totient is φ = 81536403200.

The previous prime is 211121101987. The next prime is 211121102009. The reversal of 211121102000 is 201121112.

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

It is a super-4 number, since 4×211121102000⁴ (a number of 46 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (211121102009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1762010 + ... + 1878009.

It is an arithmetic number, because the mean of its divisors is an integer number (6601176270).

Almost surely, 2^211121102000 is an apocalyptic number.

211121102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121102000 is an abundant number, since it is smaller than the sum of its proper divisors (316972999600).

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

211121102000 is a wasteful number, since it uses less digits than its factorization.

211121102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640071 (or 3640055 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211121102000 its reverse (201121112), we get a palindrome (211322223112).

The spelling of 211121102000 in words is "two hundred eleven billion, one hundred twenty-one million, one hundred two thousand".