10510201400 has 48 divisors (see below), whose sum is σ = 24678208440. Its totient is φ = 4162448000.

The previous prime is 10510201399. The next prime is 10510201421. The reversal of 10510201400 is 410201501.

10510201400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10510201400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239954 + ... + 280353.

Almost surely, 2^10510201400 is an apocalyptic number.

10510201400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10510201400 is an abundant number, since it is smaller than the sum of its proper divisors (14168007040).

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

10510201400 is a wasteful number, since it uses less digits than its factorization.

10510201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520424 (or 520415 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 10510201400 its reverse (410201501), we get a palindrome (10920402901).

The spelling of 10510201400 in words is "ten billion, five hundred ten million, two hundred one thousand, four hundred".