101022120201 has 16 divisors (see below), whose sum is σ = 142799072768. Its totient is φ = 63414057600.

The previous prime is 101022120193. The next prime is 101022120217. The reversal of 101022120201 is 102021220101.

It is not a de Polignac number, because 101022120201 - 2³ = 101022120193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101022120401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14675740 + ... + 14682621.

It is an arithmetic number, because the mean of its divisors is an integer number (8924942048).

Almost surely, 2^101022120201 is an apocalyptic number.

It is an amenable number.

101022120201 is a deficient number, since it is larger than the sum of its proper divisors (41776952567).

101022120201 is a wasteful number, since it uses less digits than its factorization.

101022120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29358432.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101022120201 its reverse (102021220101), we get a palindrome (203043340302).

The spelling of 101022120201 in words is "one hundred one billion, twenty-two million, one hundred twenty thousand, two hundred one".