101012111002001 has 16 divisors (see below), whose sum is σ = 101877442692480. Its totient is φ = 100151481888000.

The previous prime is 101012111001947. The next prime is 101012111002057. The reversal of 101012111002001 is 100200111210101.

It is not a de Polignac number, because 101012111002001 - 2²² = 101012106807697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101012111002301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48084041 + ... + 50140793.

It is an arithmetic number, because the mean of its divisors is an integer number (6367340168280).

Almost surely, 2^{101012111002001} is an apocalyptic number.

It is an amenable number.

101012111002001 is a deficient number, since it is larger than the sum of its proper divisors (865331690479).

101012111002001 is a wasteful number, since it uses less digits than its factorization.

101012111002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057896.

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

Adding to 101012111002001 its reverse (100200111210101), we get a palindrome (201212222212102).

The spelling of 101012111002001 in words is "one hundred one trillion, twelve billion, one hundred eleven million, two thousand, one".