101425250101300 has 144 divisors (see below), whose sum is σ = 222975955969200. Its totient is φ = 40040397619200.

The previous prime is 101425250101289. The next prime is 101425250101309. The reversal of 101425250101300 is 3101052524101.

It can be written as a sum of positive squares in 24 ways, for example, as 84242218862736 + 17183031238564 = 9178356^2 + 4145242^2 .

It is a super-2 number, since 2×101425250101300² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101425250101309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11987379070 + ... + 11987387530.

It is an arithmetic number, because the mean of its divisors is an integer number (1548444138675).

Almost surely, 2^{101425250101300} is an apocalyptic number.

101425250101300 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 101425250101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111487977984600).

101425250101300 is an abundant number, since it is smaller than the sum of its proper divisors (121550705867900).

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

101425250101300 is a wasteful number, since it uses less digits than its factorization.

101425250101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10886 (or 10879 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 101425250101300 in words is "one hundred one trillion, four hundred twenty-five billion, two hundred fifty million, one hundred one thousand, three hundred".