101000221201001 has 4 divisors (see below), whose sum is σ = 101003238057600. Its totient is φ = 100997204344404.

The previous prime is 101000221200971. The next prime is 101000221201027. The reversal of 101000221201001 is 100102122000101.

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 a de Polignac number, because none of the positive numbers 2^k-101000221201001 is a prime.

It is a super-4 number, since 4×101000221201001⁴ (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 not an unprimeable number, because it can be changed into a prime (101000221201081) 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, 1508378081 + ... + 1508445038.

It is an arithmetic number, because the mean of its divisors is an integer number (25250809514400).

Almost surely, 2^{101000221201001} is an apocalyptic number.

It is an amenable number.

101000221201001 is a deficient number, since it is larger than the sum of its proper divisors (3016856599).

101000221201001 is an equidigital number, since it uses as much as digits as its factorization.

101000221201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016856598.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101000221201001 its reverse (100102122000101), we get a palindrome (201102343201102).

The spelling of 101000221201001 in words is "one hundred one trillion, two hundred twenty-one million, two hundred one thousand, one".