211220102011000 has 256 divisors, whose sum is σ = 533589368832000. Its totient is φ = 77966148659200.

The previous prime is 211220102010977. The next prime is 211220102011001. The reversal of 211220102011000 is 110201022112.

It is a super-2 number, since 2×211220102011000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220102011001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 383874081 + ... + 384423919.

It is an arithmetic number, because the mean of its divisors is an integer number (2084333472000).

Almost surely, 2^{211220102011000} is an apocalyptic number.

211220102011000 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 211220102011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266794684416000).

211220102011000 is an abundant number, since it is smaller than the sum of its proper divisors (322369266821000).

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

211220102011000 is a wasteful number, since it uses less digits than its factorization.

211220102011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550319 (or 550305 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211220102011000 its reverse (110201022112), we get a palindrome (211330303033112).

The spelling of 211220102011000 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred two million, eleven thousand".