101021220001 has 32 divisors (see below), whose sum is σ = 111440480256. Its totient is φ = 91010304000.

The previous prime is 101021219993. The next prime is 101021220037. The reversal of 101021220001 is 100022120101.

It is a cyclic number.

It is not a de Polignac number, because 101021220001 - 2³ = 101021219993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101021220001.

It is not an unprimeable number, because it can be changed into a prime (101021220901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46746361 + ... + 46748521.

It is an arithmetic number, because the mean of its divisors is an integer number (3482515008).

Almost surely, 2^101021220001 is an apocalyptic number.

It is an amenable number.

101021220001 is a deficient number, since it is larger than the sum of its proper divisors (10419260255).

101021220001 is a wasteful number, since it uses less digits than its factorization.

101021220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713.

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

Adding to 101021220001 its reverse (100022120101), we get a palindrome (201043340102).

The spelling of 101021220001 in words is "one hundred one billion, twenty-one million, two hundred twenty thousand, one".