101426111300 has 72 divisors (see below), whose sum is σ = 221553069696. Its totient is φ = 40302021760.

The previous prime is 101426111257. The next prime is 101426111317. The reversal of 101426111300 is 3111624101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34650437 + ... + 34653363.

It is an arithmetic number, because the mean of its divisors is an integer number (3077125968).

Almost surely, 2^101426111300 is an apocalyptic number.

101426111300 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 101426111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110776534848).

101426111300 is an abundant number, since it is smaller than the sum of its proper divisors (120126958396).

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

101426111300 is a wasteful number, since it uses less digits than its factorization.

101426111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5117 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101426111300 its reverse (3111624101), we get a palindrome (104537735401).

The spelling of 101426111300 in words is "one hundred one billion, four hundred twenty-six million, one hundred eleven thousand, three hundred".