101444026200 has 384 divisors, whose sum is σ = 352606003200. Its totient is φ = 23913792000.

The previous prime is 101444026153. The next prime is 101444026219. The reversal of 101444026200 is 2620444101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76909141 + ... + 76910459.

It is an arithmetic number, because the mean of its divisors is an integer number (918244800).

Almost surely, 2^101444026200 is an apocalyptic number.

101444026200 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 101444026200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176303001600).

101444026200 is an abundant number, since it is smaller than the sum of its proper divisors (251161977000).

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

101444026200 is a wasteful number, since it uses less digits than its factorization.

101444026200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 101444026200 in words is "one hundred one billion, four hundred forty-four million, twenty-six thousand, two hundred".