211002121112100 has 72 divisors (see below), whose sum is σ = 616205073038688. Its totient is φ = 55741370304000.

The previous prime is 211002121112059. The next prime is 211002121112147. The reversal of 211002121112100 is 1211121200112.

It is a happy number.

It is a super-2 number, since 2×211002121112100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211002121112100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3286605301 + ... + 3286669500.

It is an arithmetic number, because the mean of its divisors is an integer number (8558403792204).

Almost surely, 2^{211002121112100} is an apocalyptic number.

211002121112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211002121112100 is an abundant number, since it is smaller than the sum of its proper divisors (405202951926588).

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

211002121112100 is a wasteful number, since it uses less digits than its factorization.

211002121112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6573274925 (or 6573274918 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211002121112100 its reverse (1211121200112), we get a palindrome (212213242312212).

The spelling of 211002121112100 in words is "two hundred eleven trillion, two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred".