10202211021440 has 64 divisors (see below), whose sum is σ = 24477710465160. Its totient is φ = 4066151903232.

The previous prime is 10202211021403. The next prime is 10202211021449. The reversal of 10202211021440 is 4412011220201.

It can be written as a sum of positive squares in 4 ways, for example, as 7090035194944 + 3112175826496 = 2662712^2 + 1764136^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (10202211021449) 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 7 ways as a sum of consecutive naturals, for example, 28597007 + ... + 28951566.

Almost surely, 2^{10202211021440} is an apocalyptic number.

10202211021440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202211021440 is an abundant number, since it is smaller than the sum of its proper divisors (14275499443720).

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

10202211021440 is an equidigital number, since it uses as much as digits as its factorization.

10202211021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57548869 (or 57548857 counting only the distinct ones).

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

Adding to 10202211021440 its reverse (4412011220201), we get a palindrome (14614222241641).

The spelling of 10202211021440 in words is "ten trillion, two hundred two billion, two hundred eleven million, twenty-one thousand, four hundred forty".