101213569800 has 576 divisors, whose sum is σ = 416347102080. Its totient is φ = 21507563520.

The previous prime is 101213569781. The next prime is 101213569801. The reversal of 101213569800 is 8965312101.

101213569800 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 13 + 569 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101213569801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17775754 + ... + 17781446.

It is an arithmetic number, because the mean of its divisors is an integer number (722824830).

Almost surely, 2^101213569800 is an apocalyptic number.

101213569800 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 101213569800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208173551040).

101213569800 is an abundant number, since it is smaller than the sum of its proper divisors (315133532280).

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

101213569800 is a wasteful number, since it uses less digits than its factorization.

101213569800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5822 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 101213569800 in words is "one hundred one billion, two hundred thirteen million, five hundred sixty-nine thousand, eight hundred".