24220100101000 has 128 divisors (see below), whose sum is σ = 56738331468000. Its totient is φ = 9677227392000.

The previous prime is 24220100100991. The next prime is 24220100101007. The reversal of 24220100101000 is 10100102242.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1766660988964 + 22453439112036 = 1329158^2 + 4738506^2 .

It is a super-2 number, since 2×24220100101000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24220100101007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6338679090 + ... + 6338682910.

Almost surely, 2^{24220100101000} is an apocalyptic number.

24220100101000 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 24220100101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28369165734000).

24220100101000 is an abundant number, since it is smaller than the sum of its proper divisors (32518231367000).

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

24220100101000 is a wasteful number, since it uses less digits than its factorization.

24220100101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9260 (or 9246 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 24220100101000 its reverse (10100102242), we get a palindrome (24230200203242).

The spelling of 24220100101000 in words is "twenty-four trillion, two hundred twenty billion, one hundred million, one hundred one thousand".