101020001221121 has 4 divisors (see below), whose sum is σ = 101020055768832. Its totient is φ = 101019946673412.

The previous prime is 101020001221063. The next prime is 101020001221133. The reversal of 101020001221121 is 121122100020101.

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 101020001221121 - 2⁶ = 101020001221057 is a prime.

It is a super-4 number, since 4×101020001221121⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101020001221096 and 101020001221105.

It is not an unprimeable number, because it can be changed into a prime (101020001271121) 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, 24394601 + ... + 28233606.

It is an arithmetic number, because the mean of its divisors is an integer number (25255013942208).

Almost surely, 2^{101020001221121} is an apocalyptic number.

It is an amenable number.

101020001221121 is a deficient number, since it is larger than the sum of its proper divisors (54547711).

101020001221121 is an equidigital number, since it uses as much as digits as its factorization.

101020001221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54547710.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101020001221121 its reverse (121122100020101), we get a palindrome (222142101241222).

The spelling of 101020001221121 in words is "one hundred one trillion, twenty billion, one million, two hundred twenty-one thousand, one hundred twenty-one".