10101125460400 has 480 divisors, whose sum is σ = 26880239554560. Its totient is φ = 3625207971840.

The previous prime is 10101125460383. The next prime is 10101125460401. The reversal of 10101125460400 is 406452110101.

It is a super-2 number, since 2×10101125460400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10101125460401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7752206149 + ... + 7752207451.

It is an arithmetic number, because the mean of its divisors is an integer number (56000499072).

Almost surely, 2^{10101125460400} is an apocalyptic number.

10101125460400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101125460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13440119777280).

10101125460400 is an abundant number, since it is smaller than the sum of its proper divisors (16779114094160).

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

10101125460400 is a wasteful number, since it uses less digits than its factorization.

10101125460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 10101125460400 its reverse (406452110101), we get a palindrome (10507577570501).

The spelling of 10101125460400 in words is "ten trillion, one hundred one billion, one hundred twenty-five million, four hundred sixty thousand, four hundred".