101969998648200 has 480 divisors, whose sum is σ = 383710406096160. Its totient is φ = 24997293619200.

The previous prime is 101969998648171. The next prime is 101969998648211. The reversal of 101969998648200 is 2846899969101.

101969998648200 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 69 + 9 + 9 + 86 + 482 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7536835 + ... + 16147565.

It is an arithmetic number, because the mean of its divisors is an integer number (799396679367).

Almost surely, 2^{101969998648200} is an apocalyptic number.

101969998648200 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 101969998648200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191855203048080).

101969998648200 is an abundant number, since it is smaller than the sum of its proper divisors (281740407447960).

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

101969998648200 is a wasteful number, since it uses less digits than its factorization.

101969998648200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8610819 (or 8610801 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 72.

The spelling of 101969998648200 in words is "one hundred one trillion, nine hundred sixty-nine billion, nine hundred ninety-eight million, six hundred forty-eight thousand, two hundred".