101012221001 has 8 divisors (see below), whose sum is σ = 106980604200. Its totient is φ = 95046780928.

The previous prime is 101012220949. The next prime is 101012221133. The reversal of 101012221001 is 100122210101.

It can be written as a sum of positive squares in 4 ways, for example, as 79566400 + 100932654601 = 8920^2 + 317699^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101012221001 - 2¹⁴ = 101012204617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101012271001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 664916 + ... + 802581.

It is an arithmetic number, because the mean of its divisors is an integer number (13372575525).

Almost surely, 2^101012221001 is an apocalyptic number.

It is an amenable number.

101012221001 is a deficient number, since it is larger than the sum of its proper divisors (5968383199).

101012221001 is a wasteful number, since it uses less digits than its factorization.

101012221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471563.

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

Adding to 101012221001 its reverse (100122210101), we get a palindrome (201134431102).

The spelling of 101012221001 in words is "one hundred one billion, twelve million, two hundred twenty-one thousand, one".