101001121100021 has 4 divisors (see below), whose sum is σ = 101513817146412. Its totient is φ = 100488425053632.

The previous prime is 101001121099951. The next prime is 101001121100029. The reversal of 101001121100021 is 120001121100101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 59317492186225 + 41683628913796 = 7701785^2 + 6456286^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001121100021 - 2³⁸ = 100726243193077 is a prime.

It is a super-2 number, since 2×101001121100021² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101001121099975 and 101001121100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001121100029) 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, 256348022900 + ... + 256348023293.

It is an arithmetic number, because the mean of its divisors is an integer number (25378454286603).

Almost surely, 2^{101001121100021} is an apocalyptic number.

It is an amenable number.

101001121100021 is a deficient number, since it is larger than the sum of its proper divisors (512696046391).

101001121100021 is an equidigital number, since it uses as much as digits as its factorization.

101001121100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512696046390.

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

Adding to 101001121100021 its reverse (120001121100101), we get a palindrome (221002242200122).

The spelling of 101001121100021 in words is "one hundred one trillion, one billion, one hundred twenty-one million, one hundred thousand, twenty-one".