1001020120001 has 8 divisors (see below), whose sum is σ = 1092037605600. Its totient is φ = 910005243840.

The previous prime is 1001020119943. The next prime is 1001020120123. The reversal of 1001020120001 is 1000210201001.

1001020120001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 1001020120001 - 2¹⁴ = 1001020103617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001020120201) 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, 197945 + ... + 1428713.

It is an arithmetic number, because the mean of its divisors is an integer number (136504700700).

Almost surely, 2^{1001020120001} is an apocalyptic number.

1001020120001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001020120001 is a deficient number, since it is larger than the sum of its proper divisors (91017485599).

1001020120001 is a wasteful number, since it uses less digits than its factorization.

1001020120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304719.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001020120001 its reverse (1000210201001), we get a palindrome (2001230321002).

The spelling of 1001020120001 in words is "one trillion, one billion, twenty million, one hundred twenty thousand, one".