101201012112121 has 8 divisors (see below), whose sum is σ = 102141872582400. Its totient is φ = 100263191579760.

The previous prime is 101201012112103. The next prime is 101201012112131. The reversal of 101201012112121 is 121211210102101.

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 101201012112121 - 2¹³ = 101201012103929 is a prime.

It is a super-2 number, since 2×101201012112121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101201012112095 and 101201012112104.

It is not an unprimeable number, because it can be changed into a prime (101201012112131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 759917590 + ... + 760050751.

It is an arithmetic number, because the mean of its divisors is an integer number (12767734072800).

Almost surely, 2^{101201012112121} is an apocalyptic number.

It is an amenable number.

101201012112121 is a deficient number, since it is larger than the sum of its proper divisors (940860470279).

101201012112121 is a wasteful number, since it uses less digits than its factorization.

101201012112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519968959.

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

Adding to 101201012112121 its reverse (121211210102101), we get a palindrome (222412222214222).

The spelling of 101201012112121 in words is "one hundred one trillion, two hundred one billion, twelve million, one hundred twelve thousand, one hundred twenty-one".