101110000112121 has 128 divisors (see below), whose sum is σ = 187740840333312. Its totient is φ = 46706855040000.

The previous prime is 101110000112083. The next prime is 101110000112137. The reversal of 101110000112121 is 121211000011101.

It is not a de Polignac number, because 101110000112121 - 2⁶ = 101110000112057 is a prime.

It is a super-2 number, since 2×101110000112121² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101110000112097 and 101110000112106.

It is not an unprimeable number, because it can be changed into a prime (101110000112161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6717306 + ... + 15727116.

It is an arithmetic number, because the mean of its divisors is an integer number (1466725315104).

Almost surely, 2^{101110000112121} is an apocalyptic number.

101110000112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101110000112121 is a deficient number, since it is larger than the sum of its proper divisors (86630840221191).

101110000112121 is a wasteful number, since it uses less digits than its factorization.

101110000112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9009983.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101110000112121 its reverse (121211000011101), we get a palindrome (222321000123222).

The spelling of 101110000112121 in words is "one hundred one trillion, one hundred ten billion, one hundred twelve thousand, one hundred twenty-one".