101022000221001 has 4 divisors (see below), whose sum is σ = 134696000294672. Its totient is φ = 67348000147332.

The previous prime is 101022000220949. The next prime is 101022000221017. The reversal of 101022000221001 is 100122000220101.

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 101022000221001 - 2¹⁰ = 101022000219977 is a prime.

It is a super-4 number, since 4×101022000221001⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101022000211001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16837000036831 + ... + 16837000036836.

It is an arithmetic number, because the mean of its divisors is an integer number (33674000073668).

Almost surely, 2^{101022000221001} is an apocalyptic number.

It is an amenable number.

101022000221001 is a deficient number, since it is larger than the sum of its proper divisors (33674000073671).

101022000221001 is an equidigital number, since it uses as much as digits as its factorization.

101022000221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33674000073670.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101022000221001 its reverse (100122000220101), we get a palindrome (201144000441102).

The spelling of 101022000221001 in words is "one hundred one trillion, twenty-two billion, two hundred twenty-one thousand, one".