1012112200121 has 16 divisors (see below), whose sum is σ = 1115623416768. Its totient is φ = 910519833600.

The previous prime is 1012112200117. The next prime is 1012112200129. The reversal of 1012112200121 is 1210022112101.

It is a cyclic number.

It is not a de Polignac number, because 1012112200121 - 2² = 1012112200117 is a prime.

It is a super-2 number, since 2×1012112200121² (a number of 25 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 = 1012112200096 and 1012112200105.

It is not an unprimeable number, because it can be changed into a prime (1012112200129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11191541 + ... + 11281613.

It is an arithmetic number, because the mean of its divisors is an integer number (69726463548).

Almost surely, 2^{1012112200121} is an apocalyptic number.

1012112200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012112200121 is a deficient number, since it is larger than the sum of its proper divisors (103511216647).

1012112200121 is a wasteful number, since it uses less digits than its factorization.

1012112200121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100712.

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

Adding to 1012112200121 its reverse (1210022112101), we get a palindrome (2222134312222).

The spelling of 1012112200121 in words is "one trillion, twelve billion, one hundred twelve million, two hundred thousand, one hundred twenty-one".