1021112101001 has 16 divisors (see below), whose sum is σ = 1050047539200. Its totient is φ = 992479771200.

The previous prime is 1021112100941. The next prime is 1021112101039. The reversal of 1021112101001 is 1001012111201.

1021112101001 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 1021112101001 - 2³⁴ = 1003932231817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1021112101901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44576651 + ... + 44599551.

It is an arithmetic number, because the mean of its divisors is an integer number (65627971200).

Almost surely, 2^{1021112101001} is an apocalyptic number.

It is an amenable number.

1021112101001 is a deficient number, since it is larger than the sum of its proper divisors (28935438199).

1021112101001 is a wasteful number, since it uses less digits than its factorization.

1021112101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29464.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1021112101001 its reverse (1001012111201), we get a palindrome (2022124212202).

The spelling of 1021112101001 in words is "one trillion, twenty-one billion, one hundred twelve million, one hundred one thousand, one".