1020191110001 has 16 divisors (see below), whose sum is σ = 1180784640000. Its totient is φ = 863312316048.

The previous prime is 1020191109961. The next prime is 1020191110009. The reversal of 1020191110001 is 1000111910201.

It is a happy number.

It is not a de Polignac number, because 1020191110001 - 2¹⁰ = 1020191108977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020191110009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7675556 + ... + 7807338.

It is an arithmetic number, because the mean of its divisors is an integer number (73799040000).

Almost surely, 2^{1020191110001} is an apocalyptic number.

It is an amenable number.

1020191110001 is a deficient number, since it is larger than the sum of its proper divisors (160593529999).

1020191110001 is a wasteful number, since it uses less digits than its factorization.

1020191110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145868.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 1020191110001 in words is "one trillion, twenty billion, one hundred ninety-one million, one hundred ten thousand, one".