101021120000101 has 4 divisors (see below), whose sum is σ = 115452708571552. Its totient is φ = 86589531428652.

The previous prime is 101021120000029. The next prime is 101021120000111. The reversal of 101021120000101 is 101000021120101.

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 not a de Polignac number, because 101021120000101 - 2⁷ = 101021119999973 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 (101021120000111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7215794285715 + ... + 7215794285728.

It is an arithmetic number, because the mean of its divisors is an integer number (28863177142888).

Almost surely, 2^{101021120000101} is an apocalyptic number.

It is an amenable number.

101021120000101 is a deficient number, since it is larger than the sum of its proper divisors (14431588571451).

101021120000101 is an equidigital number, since it uses as much as digits as its factorization.

101021120000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14431588571450.

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

Adding to 101021120000101 its reverse (101000021120101), we get a palindrome (202021141120202).

It can be divided in two parts, 101021120000 and 101, that added together give a palindrome (101021120101).

The spelling of 101021120000101 in words is "one hundred one trillion, twenty-one billion, one hundred twenty million, one hundred one", and thus it is an aban number.