1010001212101 has 32 divisors (see below), whose sum is σ = 1170464981760. Its totient is φ = 853659456000.

The previous prime is 1010001212081. The next prime is 1010001212107. The reversal of 1010001212101 is 1012121000101.

1010001212101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1010001212101 - 2²⁷ = 1009866994373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010001212107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187485930 + ... + 187491316.

It is an arithmetic number, because the mean of its divisors is an integer number (36577030680).

Almost surely, 2^{1010001212101} is an apocalyptic number.

It is an amenable number.

1010001212101 is a deficient number, since it is larger than the sum of its proper divisors (160463769659).

1010001212101 is a wasteful number, since it uses less digits than its factorization.

1010001212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6525.

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

Adding to 1010001212101 its reverse (1012121000101), we get a palindrome (2022122212202).

The spelling of 1010001212101 in words is "one trillion, ten billion, one million, two hundred twelve thousand, one hundred one".