101342251134300 has 288 divisors, whose sum is σ = 330306423035904. Its totient is φ = 23767031808000.

The previous prime is 101342251134287. The next prime is 101342251134307. The reversal of 101342251134300 is 3431152243101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101342251134307) 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 95 ways as a sum of consecutive naturals, for example, 296192124 + ... + 296534076.

It is an arithmetic number, because the mean of its divisors is an integer number (1146897302208).

Almost surely, 2^{101342251134300} is an apocalyptic number.

101342251134300 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 101342251134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165153211517952).

101342251134300 is an abundant number, since it is smaller than the sum of its proper divisors (228964171901604).

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

101342251134300 is a wasteful number, since it uses less digits than its factorization.

101342251134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344909 (or 344902 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 101342251134300 in words is "one hundred one trillion, three hundred forty-two billion, two hundred fifty-one million, one hundred thirty-four thousand, three hundred".