101421770099200 has 960 divisors, whose sum is σ = 272378238105600. Its totient is φ = 37350899712000.

The previous prime is 101421770099173. The next prime is 101421770099207. The reversal of 101421770099200 is 2990077124101.

It is not an unprimeable number, because it can be changed into a prime (101421770099207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155316646074 + ... + 155316646726.

It is an arithmetic number, because the mean of its divisors is an integer number (283727331360).

Almost surely, 2^{101421770099200} is an apocalyptic number.

101421770099200 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 101421770099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136189119052800).

101421770099200 is an abundant number, since it is smaller than the sum of its proper divisors (170956468006400).

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

101421770099200 is a wasteful number, since it uses less digits than its factorization.

101421770099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 43.

The spelling of 101421770099200 in words is "one hundred one trillion, four hundred twenty-one billion, seven hundred seventy million, ninety-nine thousand, two hundred".