19901000101000 has 64 divisors (see below), whose sum is σ = 46569369600000. Its totient is φ = 7960224081600.

The previous prime is 19901000100953. The next prime is 19901000101001. The reversal of 19901000101000 is 10100010991.

It is not an unprimeable number, because it can be changed into a prime (19901000101001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51004651 + ... + 51393349.

It is an arithmetic number, because the mean of its divisors is an integer number (727646400000).

Almost surely, 2^{19901000101000} is an apocalyptic number.

19901000101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19901000101000 is an abundant number, since it is smaller than the sum of its proper divisors (26668369499000).

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

19901000101000 is a wasteful number, since it uses less digits than its factorization.

19901000101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439919 (or 439905 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 22.

Adding to 19901000101000 its reverse (10100010991), we get a palindrome (19911100111991).

The spelling of 19901000101000 in words is "nineteen trillion, nine hundred one billion, one hundred one thousand".