10244101400120 has 128 divisors (see below), whose sum is σ = 27000110592000. Its totient is φ = 3496512233088.

The previous prime is 10244101400107. The next prime is 10244101400149. The reversal of 10244101400120 is 2100410144201.

It is a super-2 number, since 2×10244101400120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10244101400092 and 10244101400101.

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, 1385447 + ... + 4733673.

It is an arithmetic number, because the mean of its divisors is an integer number (210938364000).

Almost surely, 2^{10244101400120} is an apocalyptic number.

10244101400120 is a gapful number since it is divisible by the number (10) 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 10244101400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13500055296000).

10244101400120 is an abundant number, since it is smaller than the sum of its proper divisors (16756009191880).

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

10244101400120 is a wasteful number, since it uses less digits than its factorization.

10244101400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348482 (or 3348464 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10244101400120 its reverse (2100410144201), we get a palindrome (12344511544321).

The spelling of 10244101400120 in words is "ten trillion, two hundred forty-four billion, one hundred one million, four hundred thousand, one hundred twenty".