101112121220201 has 48 divisors (see below), whose sum is σ = 130224831510144. Its totient is φ = 76444144077312.

The previous prime is 101112121220197. The next prime is 101112121220261. The reversal of 101112121220201 is 102022121211101.

It is not a de Polignac number, because 101112121220201 - 2² = 101112121220197 is a prime.

It is a super-2 number, since 2×101112121220201² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101112121220201.

It is not an unprimeable number, because it can be changed into a prime (101112121220261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45956870 + ... + 48106736.

It is an arithmetic number, because the mean of its divisors is an integer number (2713017323128).

Almost surely, 2^{101112121220201} is an apocalyptic number.

It is an amenable number.

101112121220201 is a deficient number, since it is larger than the sum of its proper divisors (29112710289943).

101112121220201 is a wasteful number, since it uses less digits than its factorization.

101112121220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150910 (or 2150887 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101112121220201 its reverse (102022121211101), we get a palindrome (203134242431302).

The spelling of 101112121220201 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, two hundred twenty thousand, two hundred one".