101212112121021 has 16 divisors (see below), whose sum is σ = 163575130701120. Its totient is φ = 61340674012560.

The previous prime is 101212112121019. The next prime is 101212112121067. The reversal of 101212112121021 is 120121211212101.

It is a happy number.

101212112121021 is a `hidden beast` number, since 101 + 212 + 1 + 121 + 210 + 21 = 666.

It is not a de Polignac number, because 101212112121021 - 2¹ = 101212112121019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101212112120985 and 101212112121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212112121121) 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, 170390760850 + ... + 170390761443.

It is an arithmetic number, because the mean of its divisors is an integer number (10223445668820).

Almost surely, 2^{101212112121021} is an apocalyptic number.

101212112121021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101212112121021 is a deficient number, since it is larger than the sum of its proper divisors (62363018580099).

101212112121021 is a wasteful number, since it uses less digits than its factorization.

101212112121021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340781522313 (or 340781522307 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101212112121021 its reverse (120121211212101), we get a palindrome (221333323333122).

The spelling of 101212112121021 in words is "one hundred one trillion, two hundred twelve billion, one hundred twelve million, one hundred twenty-one thousand, twenty-one".