212022012001100 has 144 divisors (see below), whose sum is σ = 527748241284096. Its totient is φ = 72425997504000.

The previous prime is 212022012000961. The next prime is 212022012001109. The reversal of 212022012001100 is 1100210220212.

212022012001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (212022012001109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1790500895 + ... + 1790619305.

Almost surely, 2^{212022012001100} is an apocalyptic number.

212022012001100 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 212022012001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263874120642048).

212022012001100 is an abundant number, since it is smaller than the sum of its proper divisors (315726229282996).

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

212022012001100 is a wasteful number, since it uses less digits than its factorization.

212022012001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127816 (or 127809 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212022012001100 its reverse (1100210220212), we get a palindrome (213122222221312).

The spelling of 212022012001100 in words is "two hundred twelve trillion, twenty-two billion, twelve million, one thousand, one hundred".