101293771800 has 384 divisors, whose sum is σ = 347737743360. Its totient is φ = 24232857600.

The previous prime is 101293771783. The next prime is 101293771801. The reversal of 101293771800 is 8177392101.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101293771801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122482987 + ... + 122483813.

It is an arithmetic number, because the mean of its divisors is an integer number (905567040).

Almost surely, 2^101293771800 is an apocalyptic number.

101293771800 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 101293771800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173868871680).

101293771800 is an abundant number, since it is smaller than the sum of its proper divisors (246443971560).

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

101293771800 is a wasteful number, since it uses less digits than its factorization.

101293771800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The spelling of 101293771800 in words is "one hundred one billion, two hundred ninety-three million, seven hundred seventy-one thousand, eight hundred".