212211020100 has 144 divisors (see below), whose sum is σ = 617786459136. Its totient is φ = 56241024000.

The previous prime is 212211020053. The next prime is 212211020113. The reversal of 212211020100 is 1020112212.

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, 86934880 + ... + 86937320.

It is an arithmetic number, because the mean of its divisors is an integer number (4290183744).

Almost surely, 2^212211020100 is an apocalyptic number.

212211020100 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 212211020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308893229568).

212211020100 is an abundant number, since it is smaller than the sum of its proper divisors (405575439036).

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

212211020100 is a wasteful number, since it uses less digits than its factorization.

212211020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 4119 counting only the distinct ones).

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

Adding to 212211020100 its reverse (1020112212), we get a palindrome (213231132312).

The spelling of 212211020100 in words is "two hundred twelve billion, two hundred eleven million, twenty thousand, one hundred".