212200000211100 has 864 divisors, whose sum is σ = 709781776558848. Its totient is φ = 48533900800000.

The previous prime is 212200000210993. The next prime is 212200000211107. The reversal of 212200000211100 is 1112000002212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212200000211107) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 49544709559 + ... + 49544713841.

It is an arithmetic number, because the mean of its divisors is an integer number (821506685832).

Almost surely, 2^{212200000211100} is an apocalyptic number.

212200000211100 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 212200000211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354890888279424).

212200000211100 is an abundant number, since it is smaller than the sum of its proper divisors (497581776347748).

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

212200000211100 is a wasteful number, since it uses less digits than its factorization.

212200000211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4739 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212200000211100 its reverse (1112000002212), we get a palindrome (213312000213312).

The spelling of 212200000211100 in words is "two hundred twelve trillion, two hundred billion, two hundred eleven thousand, one hundred".