101221112112201 has 24 divisors (see below), whose sum is σ = 146475734574624. Its totient is φ = 67357334721600.

The previous prime is 101221112112151. The next prime is 101221112112203. The reversal of 101221112112201 is 102211211122101.

It is a happy number.

101221112112201 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 11 + 211 + 220 + 1 = 666.

It is not a de Polignac number, because 101221112112201 - 2¹⁸ = 101221111850057 is a prime.

It is a super-2 number, since 2×101221112112201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101221112112203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31274170 + ... + 34358636.

It is an arithmetic number, because the mean of its divisors is an integer number (6103155607276).

Almost surely, 2^{101221112112201} is an apocalyptic number.

It is an amenable number.

101221112112201 is a deficient number, since it is larger than the sum of its proper divisors (45254622462423).

101221112112201 is a wasteful number, since it uses less digits than its factorization.

101221112112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091141 (or 3091138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101221112112201 its reverse (102211211122101), we get a palindrome (203432323234302).

The spelling of 101221112112201 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twelve million, one hundred twelve thousand, two hundred one".