101121221001 has 16 divisors (see below), whose sum is σ = 142939155968. Its totient is φ = 63476265600.

The previous prime is 101121220969. The next prime is 101121221011. The reversal of 101121221001 is 100122121101.

It is not a de Polignac number, because 101121221001 - 2⁵ = 101121220969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101121221011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14690140 + ... + 14697021.

It is an arithmetic number, because the mean of its divisors is an integer number (8933697248).

Almost surely, 2^101121221001 is an apocalyptic number.

It is an amenable number.

101121221001 is a deficient number, since it is larger than the sum of its proper divisors (41817934967).

101121221001 is a wasteful number, since it uses less digits than its factorization.

101121221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29387232.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101121221001 its reverse (100122121101), we get a palindrome (201243342102).

It can be divided in two parts, 1011212 and 21001, that multiplied together give a palindrome (21236463212).

The spelling of 101121221001 in words is "one hundred one billion, one hundred twenty-one million, two hundred twenty-one thousand, one".