101021220201121 has 32 divisors (see below), whose sum is σ = 118176036065280. Its totient is φ = 85332943238400.

The previous prime is 101021220201119. The next prime is 101021220201133. The reversal of 101021220201121 is 121102022120101.

It is not a de Polignac number, because 101021220201121 - 2¹ = 101021220201119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101021220201095 and 101021220201104.

It is not an unprimeable number, because it can be changed into a prime (101021220201521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155782726 + ... + 156429856.

It is an arithmetic number, because the mean of its divisors is an integer number (3693001127040).

Almost surely, 2^{101021220201121} is an apocalyptic number.

101021220201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101021220201121 is a deficient number, since it is larger than the sum of its proper divisors (17154815864159).

101021220201121 is a wasteful number, since it uses less digits than its factorization.

101021220201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657805.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101021220201121 its reverse (121102022120101), we get a palindrome (222123242321222).

The spelling of 101021220201121 in words is "one hundred one trillion, twenty-one billion, two hundred twenty million, two hundred one thousand, one hundred twenty-one".