211121012100 has 144 divisors (see below), whose sum is σ = 648986587200. Its totient is φ = 52888389120.

The previous prime is 211121012029. The next prime is 211121012111. The reversal of 211121012100 is 1210121112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6030 + ... + 649829.

It is an arithmetic number, because the mean of its divisors is an integer number (4506851300).

Almost surely, 2^211121012100 is an apocalyptic number.

211121012100 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 211121012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324493293600).

211121012100 is an abundant number, since it is smaller than the sum of its proper divisors (437865575100).

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

211121012100 is a wasteful number, since it uses less digits than its factorization.

211121012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655942 (or 655935 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211121012100 its reverse (1210121112), we get a palindrome (212331133212).

It can be divided in two parts, 211121012 and 100, that added together give a palindrome (211121112).

The spelling of 211121012100 in words is "two hundred eleven billion, one hundred twenty-one million, twelve thousand, one hundred".