2122201010100 has 288 divisors, whose sum is σ = 6407301906432. Its totient is φ = 541719360000.

The previous prime is 2122201010099. The next prime is 2122201010101. The reversal of 2122201010100 is 10101022212.

It is an interprime number because it is at equal distance from previous prime (2122201010099) and next prime (2122201010101).

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 (2122201010101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 906534930 + ... + 906537270.

It is an arithmetic number, because the mean of its divisors is an integer number (22247576064).

Almost surely, 2^{2122201010100} is an apocalyptic number.

2122201010100 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 2122201010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203650953216).

2122201010100 is an abundant number, since it is smaller than the sum of its proper divisors (4285100896332).

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

2122201010100 is a wasteful number, since it uses less digits than its factorization.

2122201010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407 (or 3400 counting only the distinct ones).

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

Adding to 2122201010100 its reverse (10101022212), we get a palindrome (2132302032312).

The spelling of 2122201010100 in words is "two trillion, one hundred twenty-two billion, two hundred one million, ten thousand, one hundred".