101451325300 has 108 divisors (see below), whose sum is σ = 239002877316. Its totient is φ = 37362124800.

The previous prime is 101451325279. The next prime is 101451325309. The reversal of 101451325300 is 3523154101.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 98017834084 + 3433491216 = 313078^2 + 58596^2 .

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 (101451325309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6701740 + ... + 6716860.

Almost surely, 2^101451325300 is an apocalyptic number.

101451325300 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 101451325300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119501438658).

101451325300 is an abundant number, since it is smaller than the sum of its proper divisors (137551552016).

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

101451325300 is a wasteful number, since it uses less digits than its factorization.

101451325300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15558 (or 15538 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 101451325300 its reverse (3523154101), we get a palindrome (104974479401).

The spelling of 101451325300 in words is "one hundred one billion, four hundred fifty-one million, three hundred twenty-five thousand, three hundred".