101012220111201 has 16 divisors (see below), whose sum is σ = 153926572645248. Its totient is φ = 57720072528000.

The previous prime is 101012220111133. The next prime is 101012220111241. The reversal of 101012220111201 is 102111022210101.

It is a happy number.

It is not a de Polignac number, because 101012220111201 - 2⁷ = 101012220111073 is a prime.

It is a super-2 number, since 2×101012220111201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101012220111241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48799750 + ... + 50827551.

It is an arithmetic number, because the mean of its divisors is an integer number (9620410790328).

Almost surely, 2^{101012220111201} is an apocalyptic number.

It is an amenable number.

101012220111201 is a deficient number, since it is larger than the sum of its proper divisors (52914352534047).

101012220111201 is an equidigital number, since it uses as much as digits as its factorization.

101012220111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99675592.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101012220111201 its reverse (102111022210101), we get a palindrome (203123242321302).

The spelling of 101012220111201 in words is "one hundred one trillion, twelve billion, two hundred twenty million, one hundred eleven thousand, two hundred one".