101012221101001 has 16 divisors (see below), whose sum is σ = 115484112108288. Its totient is φ = 86550725448000.

The previous prime is 101012221100963. The next prime is 101012221101031. The reversal of 101012221101001 is 100101122210101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101012221101001 - 2¹¹ = 101012221098953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101012221101031) 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, 860256771 + ... + 860374183.

It is an arithmetic number, because the mean of its divisors is an integer number (7217757006768).

Almost surely, 2^{101012221101001} is an apocalyptic number.

It is an amenable number.

101012221101001 is a deficient number, since it is larger than the sum of its proper divisors (14471891007287).

101012221101001 is a wasteful number, since it uses less digits than its factorization.

101012221101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160632.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101012221101001 its reverse (100101122210101), we get a palindrome (201113343311102).

The spelling of 101012221101001 in words is "one hundred one trillion, twelve billion, two hundred twenty-one million, one hundred one thousand, one".