920000100501001 has 8 divisors (see below), whose sum is σ = 996631879470920. Its totient is φ = 849230861998896.

The previous prime is 920000100500983. The next prime is 920000100501029. The reversal of 920000100501001 is 100105001000029.

It can be written as a sum of positive squares in 4 ways, for example, as 159499243748601 + 760500856752400 = 12629301^2 + 27577180^2 .

It is not a de Polignac number, because 920000100501001 - 2²⁷ = 919999966283273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 920000100501001.

It is not an unprimeable number, because it can be changed into a prime (920000100501061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209376443070 + ... + 209376447463.

It is an arithmetic number, because the mean of its divisors is an integer number (124578984933865).

Almost surely, 2^{920000100501001} is an apocalyptic number.

It is an amenable number.

920000100501001 is a deficient number, since it is larger than the sum of its proper divisors (76631778969919).

920000100501001 is an equidigital number, since it uses as much as digits as its factorization.

920000100501001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418752890572 (or 418752890546 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 19.

The spelling of 920000100501001 in words is "nine hundred twenty trillion, one hundred million, five hundred one thousand, one".