101002221001 has 16 divisors (see below), whose sum is σ = 110548692288. Its totient is φ = 91516723200.

The previous prime is 101002220971. The next prime is 101002221013. The reversal of 101002221001 is 100122200101.

It is a cyclic number.

It is not a de Polignac number, because 101002221001 - 2²⁵ = 100968666569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101002221401) 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, 12825001 + ... + 12832873.

It is an arithmetic number, because the mean of its divisors is an integer number (6909293268).

Almost surely, 2^101002221001 is an apocalyptic number.

101002221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101002221001 is a deficient number, since it is larger than the sum of its proper divisors (9546471287).

101002221001 is a wasteful number, since it uses less digits than its factorization.

101002221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11592.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101002221001 its reverse (100122200101), we get a palindrome (201124421102).

It can be divided in two parts, 101002 and 221001, that added together give a triangular number (322003 = T₈₀₂).

The spelling of 101002221001 in words is "one hundred one billion, two million, two hundred twenty-one thousand, one".