211000101121000 has 128 divisors (see below), whose sum is σ = 498604566096000. Its totient is φ = 83571735744000.

The previous prime is 211000101120959. The next prime is 211000101121031. The reversal of 211000101121000 is 121101000112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50678380 + ... + 54683620.

It is an arithmetic number, because the mean of its divisors is an integer number (3895348172625).

Almost surely, 2^{211000101121000} is an apocalyptic number.

211000101121000 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 211000101121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249302283048000).

211000101121000 is an abundant number, since it is smaller than the sum of its proper divisors (287604464975000).

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

211000101121000 is a wasteful number, since it uses less digits than its factorization.

211000101121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005780 (or 4005766 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 211000101121000 its reverse (121101000112), we get a palindrome (211121202121112).

The spelling of 211000101121000 in words is "two hundred eleven trillion, one hundred one million, one hundred twenty-one thousand".