101205877920 has 288 divisors, whose sum is σ = 373349088000. Its totient is φ = 22976722944.

The previous prime is 101205877873. The next prime is 101205877943. The reversal of 101205877920 is 29778502101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3490041 + ... + 3518919.

It is an arithmetic number, because the mean of its divisors is an integer number (1296351000).

Almost surely, 2^101205877920 is an apocalyptic number.

101205877920 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 101205877920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186674544000).

101205877920 is an abundant number, since it is smaller than the sum of its proper divisors (272143210080).

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

101205877920 is a wasteful number, since it uses less digits than its factorization.

101205877920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29060 (or 29045 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 101205877920 in words is "one hundred one billion, two hundred five million, eight hundred seventy-seven thousand, nine hundred twenty".