101069208900000 has 1728 divisors, whose sum is σ = 402187615345152. Its totient is φ = 23864064000000.

The previous prime is 101069208899993. The next prime is 101069208900013. The reversal of 101069208900000 is 9802960101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 130749299614 + ... + 130749300386.

It is an arithmetic number, because the mean of its divisors is an integer number (232747462584).

Almost surely, 2^{101069208900000} is an apocalyptic number.

101069208900000 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 101069208900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201093807672576).

101069208900000 is an abundant number, since it is smaller than the sum of its proper divisors (301118406445152).

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

101069208900000 is a wasteful number, since it uses less digits than its factorization.

101069208900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 101069208900000 in words is "one hundred one trillion, sixty-nine billion, two hundred eight million, nine hundred thousand".