2242101553100 has 72 divisors (see below), whose sum is σ = 5123864916240. Its totient is φ = 849234862080.

The previous prime is 2242101553073. The next prime is 2242101553103. The reversal of 2242101553100 is 13551012422.

It is a super-2 number, since 2×2242101553100² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2242101553100.

It is not an unprimeable number, because it can be changed into a prime (2242101553103) 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 23 ways as a sum of consecutive naturals, for example, 3735464 + ... + 4293936.

Almost surely, 2^{2242101553100} is an apocalyptic number.

2242101553100 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 2242101553100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561932458120).

2242101553100 is an abundant number, since it is smaller than the sum of its proper divisors (2881763363140).

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

2242101553100 is a wasteful number, since it uses less digits than its factorization.

2242101553100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560619 (or 560612 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 2242101553100 its reverse (13551012422), we get a palindrome (2255652565522).

The spelling of 2242101553100 in words is "two trillion, two hundred forty-two billion, one hundred one million, five hundred fifty-three thousand, one hundred".