1001101020001 has 4 divisors (see below), whose sum is σ = 1001211149104. Its totient is φ = 1000990890900.

The previous prime is 1001101019999. The next prime is 1001101020013. The reversal of 1001101020001 is 1000201011001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1001101020001 - 2¹ = 1001101019999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001101020401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55050915 + ... + 55069096.

It is an arithmetic number, because the mean of its divisors is an integer number (250302787276).

Almost surely, 2^{1001101020001} is an apocalyptic number.

It is an amenable number.

1001101020001 is a deficient number, since it is larger than the sum of its proper divisors (110129103).

1001101020001 is an equidigital number, since it uses as much as digits as its factorization.

1001101020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110129102.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1001101020001 its reverse (1000201011001), we get a palindrome (2001302031002).

The spelling of 1001101020001 in words is "one trillion, one billion, one hundred one million, twenty thousand, one".