101021101021121 has 4 divisors (see below), whose sum is σ = 105413322804672. Its totient is φ = 96628879237572.

The previous prime is 101021101021073. The next prime is 101021101021129. The reversal of 101021101021121 is 121120101120101.

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 101021101021121 - 2¹⁰ = 101021101020097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101021101021096 and 101021101021105.

It is not an unprimeable number, because it can be changed into a prime (101021101021129) 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, 2196110891741 + ... + 2196110891786.

It is an arithmetic number, because the mean of its divisors is an integer number (26353330701168).

Almost surely, 2^{101021101021121} is an apocalyptic number.

It is an amenable number.

101021101021121 is a deficient number, since it is larger than the sum of its proper divisors (4392221783551).

101021101021121 is an equidigital number, since it uses as much as digits as its factorization.

101021101021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392221783550.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101021101021121 its reverse (121120101120101), we get a palindrome (222141202141222).

The spelling of 101021101021121 in words is "one hundred one trillion, twenty-one billion, one hundred one million, twenty-one thousand, one hundred twenty-one".