1012112022121 has 16 divisors (see below), whose sum is σ = 1078752098304. Its totient is φ = 947364503184.

The previous prime is 1012112022109. The next prime is 1012112022137. The reversal of 1012112022121 is 1212202112101.

It is not a de Polignac number, because 1012112022121 - 2¹⁵ = 1012111989353 is a prime.

It is a super-3 number, since 3×1012112022121³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012112022095 and 1012112022104.

It is not an unprimeable number, because it can be changed into a prime (1012112022421) 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 15 ways as a sum of consecutive naturals, for example, 7372510 + ... + 7508536.

It is an arithmetic number, because the mean of its divisors is an integer number (67422006144).

Almost surely, 2^{1012112022121} is an apocalyptic number.

It is an amenable number.

1012112022121 is a deficient number, since it is larger than the sum of its proper divisors (66640076183).

1012112022121 is a wasteful number, since it uses less digits than its factorization.

1012112022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142980.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1012112022121 its reverse (1212202112101), we get a palindrome (2224314134222).

The spelling of 1012112022121 in words is "one trillion, twelve billion, one hundred twelve million, twenty-two thousand, one hundred twenty-one".