101121200121201 has 32 divisors (see below), whose sum is σ = 146041403827200. Its totient is φ = 61867700584704.

The previous prime is 101121200121191. The next prime is 101121200121217. The reversal of 101121200121201 is 102121002121101.

It is a happy number.

It is not a de Polignac number, because 101121200121201 - 2¹⁰ = 101121200120177 is a prime.

It is a super-2 number, since 2×101121200121201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101121200121251) 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, 685414695 + ... + 685562211.

It is an arithmetic number, because the mean of its divisors is an integer number (4563793869600).

Almost surely, 2^{101121200121201} is an apocalyptic number.

It is an amenable number.

101121200121201 is a deficient number, since it is larger than the sum of its proper divisors (44920203705999).

101121200121201 is a wasteful number, since it uses less digits than its factorization.

101121200121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249305.

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

Adding to 101121200121201 its reverse (102121002121101), we get a palindrome (203242202242302).

The spelling of 101121200121201 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred million, one hundred twenty-one thousand, two hundred one".