101191090990000 has 400 divisors, whose sum is σ = 276496573399200. Its totient is φ = 35543680000000.

The previous prime is 101191090989977. The next prime is 101191090990007. The reversal of 101191090990000 is 99090191101.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (101191090990007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 455398926 + ... + 455621074.

It is an arithmetic number, because the mean of its divisors is an integer number (691241433498).

Almost surely, 2^{101191090990000} is an apocalyptic number.

101191090990000 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 101191090990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138248286699600).

101191090990000 is an abundant number, since it is smaller than the sum of its proper divisors (175305482409200).

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

101191090990000 is a wasteful number, since it uses less digits than its factorization.

101191090990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222330 (or 222309 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 40.

The spelling of 101191090990000 in words is "one hundred one trillion, one hundred ninety-one billion, ninety million, nine hundred ninety thousand".