1020101112001 has 8 divisors (see below), whose sum is σ = 1021174794944. Its totient is φ = 1019027777040.

The previous prime is 1020101111993. The next prime is 1020101112083. The reversal of 1020101112001 is 1002111010201.

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 1020101112001 - 2³ = 1020101111993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020101113001) 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, 6001876 + ... + 6169498.

It is an arithmetic number, because the mean of its divisors is an integer number (127646849368).

Almost surely, 2^{1020101112001} is an apocalyptic number.

It is an amenable number.

1020101112001 is a deficient number, since it is larger than the sum of its proper divisors (1073682943).

1020101112001 is a wasteful number, since it uses less digits than its factorization.

1020101112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173991.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1020101112001 its reverse (1002111010201), we get a palindrome (2022212122202).

The spelling of 1020101112001 in words is "one trillion, twenty billion, one hundred one million, one hundred twelve thousand, one".