101012221002001 has 8 divisors (see below), whose sum is σ = 101511305832960. Its totient is φ = 100513773167808.

The previous prime is 101012221001977. The next prime is 101012221002113. The reversal of 101012221002001 is 100200122210101.

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 101012221002001 - 2⁷ = 101012221001873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101012221002701) 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, 158931256 + ... + 159565561.

It is an arithmetic number, because the mean of its divisors is an integer number (12688913229120).

Almost surely, 2^{101012221002001} is an apocalyptic number.

It is an amenable number.

101012221002001 is a deficient number, since it is larger than the sum of its proper divisors (499084830959).

101012221002001 is a wasteful number, since it uses less digits than its factorization.

101012221002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318498383.

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

Adding to 101012221002001 its reverse (100200122210101), we get a palindrome (201212343212102).

The spelling of 101012221002001 in words is "one hundred one trillion, twelve billion, two hundred twenty-one million, two thousand, one".