10132121113400 has 96 divisors (see below), whose sum is σ = 27675570056400. Its totient is φ = 3400991692800.

The previous prime is 10132121113357. The next prime is 10132121113409. The reversal of 10132121113400 is 431112123101.

10132121113400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132121113409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177106385 + ... + 177163584.

Almost surely, 2^{10132121113400} is an apocalyptic number.

10132121113400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132121113400 is an abundant number, since it is smaller than the sum of its proper divisors (17543448943000).

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

10132121113400 is a wasteful number, since it uses less digits than its factorization.

10132121113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354270009 (or 354270000 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10132121113400 its reverse (431112123101), we get a palindrome (10563233236501).

The spelling of 10132121113400 in words is "ten trillion, one hundred thirty-two billion, one hundred twenty-one million, one hundred thirteen thousand, four hundred".