101221022001001 has 32 divisors (see below), whose sum is σ = 123699779112960. Its totient is φ = 80893914178176.

The previous prime is 101221022000933. The next prime is 101221022001041. The reversal of 101221022001001 is 100100220122101.

It is a cyclic number.

It is not a de Polignac number, because 101221022001001 - 2⁷ = 101221022000873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101221022001041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4598016 + ... + 14952718.

It is an arithmetic number, because the mean of its divisors is an integer number (3865618097280).

Almost surely, 2^{101221022001001} is an apocalyptic number.

It is an amenable number.

101221022001001 is a deficient number, since it is larger than the sum of its proper divisors (22478757111959).

101221022001001 is a wasteful number, since it uses less digits than its factorization.

101221022001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10355893.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101221022001001 its reverse (100100220122101), we get a palindrome (201321242123102).

The spelling of 101221022001001 in words is "one hundred one trillion, two hundred twenty-one billion, twenty-two million, one thousand, one".