10212632003400 has 48 divisors (see below), whose sum is σ = 31659159212400. Its totient is φ = 2723368534080.

The previous prime is 10212632003381. The next prime is 10212632003447. The reversal of 10212632003400 is 430023621201.

It is a super-3 number, since 3×10212632003400³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 8510526070 + ... + 8510527269.

It is an arithmetic number, because the mean of its divisors is an integer number (659565816925).

Almost surely, 2^{10212632003400} is an apocalyptic number.

10212632003400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212632003400 is an abundant number, since it is smaller than the sum of its proper divisors (21446527209000).

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

10212632003400 is a wasteful number, since it uses less digits than its factorization.

10212632003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17021053358 (or 17021053349 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10212632003400 its reverse (430023621201), we get a palindrome (10642655624601).

The spelling of 10212632003400 in words is "ten trillion, two hundred twelve billion, six hundred thirty-two million, three thousand, four hundred".