101011120020001 has 4 divisors (see below), whose sum is σ = 103160292786432. Its totient is φ = 98861947253572.

The previous prime is 101011120019989. The next prime is 101011120020023. The reversal of 101011120020001 is 100020021110101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101011120020001 - 2¹⁷ = 101011119888929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101011120020001.

It is not an unprimeable number, because it can be changed into a prime (101011120020061) 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 3 ways as a sum of consecutive naturals, for example, 1074586383145 + ... + 1074586383238.

It is an arithmetic number, because the mean of its divisors is an integer number (25790073196608).

Almost surely, 2^{101011120020001} is an apocalyptic number.

It is an amenable number.

101011120020001 is a deficient number, since it is larger than the sum of its proper divisors (2149172766431).

101011120020001 is an equidigital number, since it uses as much as digits as its factorization.

101011120020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149172766430.

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

Adding to 101011120020001 its reverse (100020021110101), we get a palindrome (201031141130102).

The spelling of 101011120020001 in words is "one hundred one trillion, eleven billion, one hundred twenty million, twenty thousand, one".