20101233442240 has 224 divisors, whose sum is σ = 50227755865344. Its totient is φ = 7653367480320.

The previous prime is 20101233442219. The next prime is 20101233442261. The reversal of 20101233442240 is 4224433210102.

It is an interprime number because it is at equal distance from previous prime (20101233442219) and next prime (20101233442261).

It is a junction number, because it is equal to n+sod(n) for n = 20101233442199 and 20101233442208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1531982880 + ... + 1531996000.

Almost surely, 2^{20101233442240} is an apocalyptic number.

20101233442240 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 20101233442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25113877932672).

20101233442240 is an abundant number, since it is smaller than the sum of its proper divisors (30126522423104).

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

20101233442240 is a wasteful number, since it uses less digits than its factorization.

20101233442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15975 (or 15965 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 20101233442240 its reverse (4224433210102), we get a palindrome (24325666652342).

The spelling of 20101233442240 in words is "twenty trillion, one hundred one billion, two hundred thirty-three million, four hundred forty-two thousand, two hundred forty".