211121222012100 has 432 divisors, whose sum is σ = 682778673232656. Its totient is φ = 54524067840000.

The previous prime is 211121222012083. The next prime is 211121222012101. The reversal of 211121222012100 is 1210222121112.

211121222012100 is a `hidden beast` number, since 2 + 111 + 212 + 220 + 121 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 8212763787264 + 202908458224836 = 2865792^2 + 14244594^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211121222012101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21323217150 + ... + 21323227050.

Almost surely, 2^{211121222012100} is an apocalyptic number.

211121222012100 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 211121222012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341389336616328).

211121222012100 is an abundant number, since it is smaller than the sum of its proper divisors (471657451220556).

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

211121222012100 is a wasteful number, since it uses less digits than its factorization.

211121222012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12856 (or 12846 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211121222012100 its reverse (1210222121112), we get a palindrome (212331444133212).

The spelling of 211121222012100 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred twenty-two million, twelve thousand, one hundred".