1012101101001 has 24 divisors (see below), whose sum is σ = 1551326576800. Its totient is φ = 659042570592.

The previous prime is 1012101100999. The next prime is 1012101101009. The reversal of 1012101101001 is 1001011012101.

It is not a de Polignac number, because 1012101101001 - 2¹ = 1012101100999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1012101101009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48420076 + ... + 48440973.

Almost surely, 2^{1012101101001} is an apocalyptic number.

It is an amenable number.

1012101101001 is a deficient number, since it is larger than the sum of its proper divisors (539225475799).

1012101101001 is an frugal number, since it uses more digits than its factorization.

1012101101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96861107 (or 96861095 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1012101101001 its reverse (1001011012101), we get a palindrome (2013112113102).

The spelling of 1012101101001 in words is "one trillion, twelve billion, one hundred one million, one hundred one thousand, one".