2220121010100 has 144 divisors (see below), whose sum is σ = 7594345180800. Its totient is φ = 489957726720.

The previous prime is 2220121010099. The next prime is 2220121010101. The reversal of 2220121010100 is 10101210222.

It is an interprime number because it is at equal distance from previous prime (2220121010099) and next prime (2220121010101).

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 (2220121010101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18166695 + ... + 18288494.

It is an arithmetic number, because the mean of its divisors is an integer number (52738508200).

Almost surely, 2^{2220121010100} is an apocalyptic number.

2220121010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220121010100 is an abundant number, since it is smaller than the sum of its proper divisors (5374224170700).

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

2220121010100 is a wasteful number, since it uses less digits than its factorization.

2220121010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36455242 (or 36455235 counting only the distinct ones).

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

Adding to 2220121010100 its reverse (10101210222), we get a palindrome (2230222220322).

The spelling of 2220121010100 in words is "two trillion, two hundred twenty billion, one hundred twenty-one million, ten thousand, one hundred".