10121251400 has 48 divisors (see below), whose sum is σ = 25342062900. Its totient is φ = 3737076480.

The previous prime is 10121251397. The next prime is 10121251403. The reversal of 10121251400 is 415212101.

It is an interprime number because it is at equal distance from previous prime (10121251397) and next prime (10121251403).

It can be written as a sum of positive squares in 6 ways, for example, as 2010087556 + 8111163844 = 44834^2 + 90062^2 .

It is not an unprimeable number, because it can be changed into a prime (10121251403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1943795 + ... + 1948994.

Almost surely, 2^10121251400 is an apocalyptic number.

10121251400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121251400 is an abundant number, since it is smaller than the sum of its proper divisors (15220811500).

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

10121251400 is a wasteful number, since it uses less digits than its factorization.

10121251400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892818 (or 3892809 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 10121251400 its reverse (415212101), we get a palindrome (10536463501).

The spelling of 10121251400 in words is "ten billion, one hundred twenty-one million, two hundred fifty-one thousand, four hundred".