10113121400 has 48 divisors (see below), whose sum is σ = 23692557240. Its totient is φ = 4014358400.

The previous prime is 10113121349. The next prime is 10113121409. The reversal of 10113121400 is 412131101.

It is a super-2 number, since 2×10113121400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113121409) 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 11 ways as a sum of consecutive naturals, for example, 166799 + ... + 219198.

Almost surely, 2^10113121400 is an apocalyptic number.

10113121400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10113121400 is an abundant number, since it is smaller than the sum of its proper divisors (13579435840).

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

10113121400 is a wasteful number, since it uses less digits than its factorization.

10113121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386144 (or 386135 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10113121400 its reverse (412131101), we get a palindrome (10525252501).

The spelling of 10113121400 in words is "ten billion, one hundred thirteen million, one hundred twenty-one thousand, four hundred".