2012002220100 has 144 divisors (see below), whose sum is σ = 6046129897920. Its totient is φ = 515968320000.

The previous prime is 2012002220077. The next prime is 2012002220119. The reversal of 2012002220100 is 10222002102.

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, 1723014 + ... + 2644386.

It is an arithmetic number, because the mean of its divisors is an integer number (41987013180).

Almost surely, 2^{2012002220100} is an apocalyptic number.

2012002220100 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 2012002220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023064948960).

2012002220100 is an abundant number, since it is smaller than the sum of its proper divisors (4034127677820).

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

2012002220100 is a wasteful number, since it uses less digits than its factorization.

2012002220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921670 (or 921663 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2012002220100 its reverse (10222002102), we get a palindrome (2022224222202).

The spelling of 2012002220100 in words is "two trillion, twelve billion, two million, two hundred twenty thousand, one hundred".