10220120200400 has 240 divisors, whose sum is σ = 29053409712768. Its totient is φ = 3412482048000.

The previous prime is 10220120200399. The next prime is 10220120200403. The reversal of 10220120200400 is 400202102201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220120200403) 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, 1400549 + ... + 4733051.

Almost surely, 2^{10220120200400} is an apocalyptic number.

10220120200400 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 10220120200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14526704856384).

10220120200400 is an abundant number, since it is smaller than the sum of its proper divisors (18833289512368).

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

10220120200400 is a wasteful number, since it uses less digits than its factorization.

10220120200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332590 (or 3332579 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10220120200400 its reverse (400202102201), we get a palindrome (10620322302601).

The spelling of 10220120200400 in words is "ten trillion, two hundred twenty billion, one hundred twenty million, two hundred thousand, four hundred".