101012110221121 has 16 divisors (see below), whose sum is σ = 111063555440640. Its totient is φ = 91105430406480.

The previous prime is 101012110221119. The next prime is 101012110221181. The reversal of 101012110221121 is 121122011210101.

It is a cyclic number.

It is not a de Polignac number, because 101012110221121 - 2¹ = 101012110221119 is a prime.

It is a super-2 number, since 2×101012110221121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101012110221095 and 101012110221104.

It is not an unprimeable number, because it can be changed into a prime (101012110221101) 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 15 ways as a sum of consecutive naturals, for example, 297205360 + ... + 297545038.

It is an arithmetic number, because the mean of its divisors is an integer number (6941472215040).

Almost surely, 2^{101012110221121} is an apocalyptic number.

101012110221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101012110221121 is a deficient number, since it is larger than the sum of its proper divisors (10051445219519).

101012110221121 is a wasteful number, since it uses less digits than its factorization.

101012110221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552684.

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

Adding to 101012110221121 its reverse (121122011210101), we get a palindrome (222134121431222).

The spelling of 101012110221121 in words is "one hundred one trillion, twelve billion, one hundred ten million, two hundred twenty-one thousand, one hundred twenty-one".