10211612410400 has 36 divisors (see below), whose sum is σ = 24929098798842. Its totient is φ = 4084644963840.

The previous prime is 10211612410393. The next prime is 10211612410409. The reversal of 10211612410400 is 401421611201.

It can be written as a sum of positive squares in 3 ways, for example, as 6167057022736 + 4044555387664 = 2483356^2 + 2011108^2 .

It is not an unprimeable number, because it can be changed into a prime (10211612410409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 6382256957 + ... + 6382258556.

Almost surely, 2^{10211612410400} is an apocalyptic number.

10211612410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211612410400 is an abundant number, since it is smaller than the sum of its proper divisors (14717486388442).

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

10211612410400 is a wasteful number, since it uses less digits than its factorization.

10211612410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12764515533 (or 12764515520 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The spelling of 10211612410400 in words is "ten trillion, two hundred eleven billion, six hundred twelve million, four hundred ten thousand, four hundred".