101602232325400 has 96 divisors (see below), whose sum is σ = 244452358065600. Its totient is φ = 39226400640000.

The previous prime is 101602232325317. The next prime is 101602232325403. The reversal of 101602232325400 is 4523232206101.

It is a super-2 number, since 2×101602232325400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101602232325403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14487169 + ... + 20324431.

It is an arithmetic number, because the mean of its divisors is an integer number (2546378729850).

Almost surely, 2^{101602232325400} is an apocalyptic number.

101602232325400 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 101602232325400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122226179032800).

101602232325400 is an abundant number, since it is smaller than the sum of its proper divisors (142850125740200).

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

101602232325400 is a wasteful number, since it uses less digits than its factorization.

101602232325400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840309 (or 5840300 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 101602232325400 in words is "one hundred one trillion, six hundred two billion, two hundred thirty-two million, three hundred twenty-five thousand, four hundred".