1011001020001 has 8 divisors (see below), whose sum is σ = 1205665812864. Its totient is φ = 828895246080.

The previous prime is 1011001019957. The next prime is 1011001020011. The reversal of 1011001020001 is 1000201001101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1011001020001 - 2²⁹ = 1010464149089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011001020011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3139754560 + ... + 3139754881.

It is an arithmetic number, because the mean of its divisors is an integer number (150708226608).

Almost surely, 2^{1011001020001} is an apocalyptic number.

It is an amenable number.

1011001020001 is a deficient number, since it is larger than the sum of its proper divisors (194664792863).

1011001020001 is an equidigital number, since it uses as much as digits as its factorization.

1011001020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6279509471.

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

Adding to 1011001020001 its reverse (1000201001101), we get a palindrome (2011202021102).

The spelling of 1011001020001 in words is "one trillion, eleven billion, one million, twenty thousand, one".