1001101020192 has 144 divisors (see below), whose sum is σ = 3503853662400. Its totient is φ = 264026635776.

The previous prime is 1001101020169. The next prime is 1001101020193. The reversal of 1001101020192 is 2910201011001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1001101020193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19072942 + ... + 19125357.

It is an arithmetic number, because the mean of its divisors is an integer number (24332317100).

Almost surely, 2^{1001101020192} is an apocalyptic number.

1001101020192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001101020192 is an abundant number, since it is smaller than the sum of its proper divisors (2502752642208).

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

1001101020192 is a wasteful number, since it uses less digits than its factorization.

1001101020192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38198335 (or 38198324 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1001101020192 its reverse (2910201011001), we get a palindrome (3911302031193).

The spelling of 1001101020192 in words is "one trillion, one billion, one hundred one million, twenty thousand, one hundred ninety-two".