101012200201121 has 8 divisors (see below), whose sum is σ = 110209670954784. Its totient is φ = 91817153357920.

The previous prime is 101012200201079. The next prime is 101012200201141. The reversal of 101012200201121 is 121102002210101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101012200201121 - 2²⁶ = 101012133092257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101012200201096 and 101012200201105.

It is not an unprimeable number, because it can be changed into a prime (101012200201141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 605890475 + ... + 606057168.

It is an arithmetic number, because the mean of its divisors is an integer number (13776208869348).

Almost surely, 2^{101012200201121} is an apocalyptic number.

101012200201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101012200201121 is a deficient number, since it is larger than the sum of its proper divisors (9197470753663).

101012200201121 is a wasteful number, since it uses less digits than its factorization.

101012200201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211955231.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101012200201121 its reverse (121102002210101), we get a palindrome (222114202411222).

The spelling of 101012200201121 in words is "one hundred one trillion, twelve billion, two hundred million, two hundred one thousand, one hundred twenty-one".