1012112101001 has 16 divisors (see below), whose sum is σ = 1025976720384. Its totient is φ = 998369029824.

The previous prime is 1012112100983. The next prime is 1012112101027. The reversal of 1012112101001 is 1001012112101.

1012112101001 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 1012112101001 - 2³⁸ = 737234194057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1012112101051) 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, 11762531 + ... + 11848263.

It is an arithmetic number, because the mean of its divisors is an integer number (64123545024).

Almost surely, 2^{1012112101001} is an apocalyptic number.

It is an amenable number.

1012112101001 is a deficient number, since it is larger than the sum of its proper divisors (13864619383).

1012112101001 is a wasteful number, since it uses less digits than its factorization.

1012112101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86440.

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

Adding to 1012112101001 its reverse (1001012112101), we get a palindrome (2013124213102).

The spelling of 1012112101001 in words is "one trillion, twelve billion, one hundred twelve million, one hundred one thousand, one".