211121102012000 has 96 divisors (see below), whose sum is σ = 546025839821280. Its totient is φ = 80003785996800.

The previous prime is 211121102011991. The next prime is 211121102012039. The reversal of 211121102012000 is 210201121112.

It is a super-2 number, since 2×211121102012000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1388878619 + ... + 1389030618.

It is an arithmetic number, because the mean of its divisors is an integer number (5687769164805).

Almost surely, 2^{211121102012000} is an apocalyptic number.

211121102012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121102012000 is an abundant number, since it is smaller than the sum of its proper divisors (334904737809280).

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

211121102012000 is a wasteful number, since it uses less digits than its factorization.

211121102012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777909281 (or 2777909263 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211121102012000 its reverse (210201121112), we get a palindrome (211331303133112).

The spelling of 211121102012000 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred two million, twelve thousand".