1012102001101 has 16 divisors (see below), whose sum is σ = 1049823468288. Its totient is φ = 975065817600.

The previous prime is 1012102001051. The next prime is 1012102001123. The reversal of 1012102001101 is 1011002012101.

It is a cyclic number.

It is not a de Polignac number, because 1012102001101 - 2¹⁷ = 1012101870029 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 (1012102001401) 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, 852490 + ... + 1658596.

It is an arithmetic number, because the mean of its divisors is an integer number (65613966768).

Almost surely, 2^{1012102001101} is an apocalyptic number.

It is an amenable number.

1012102001101 is a deficient number, since it is larger than the sum of its proper divisors (37721467187).

1012102001101 is a wasteful number, since it uses less digits than its factorization.

1012102001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806532.

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

Adding to 1012102001101 its reverse (1011002012101), we get a palindrome (2023104013202).

The spelling of 1012102001101 in words is "one trillion, twelve billion, one hundred two million, one thousand, one hundred one".