101111212122021 has 32 divisors (see below), whose sum is σ = 154961834832000. Its totient is φ = 65082187505664.

The previous prime is 101111212122001. The next prime is 101111212122101. The reversal of 101111212122021 is 120221212111101.

It is a happy number.

101111212122021 is a `hidden beast` number, since 101 + 111 + 212 + 1 + 220 + 21 = 666.

It is not a de Polignac number, because 101111212122021 - 2⁶ = 101111212121957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111212121985 and 101111212122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111212122001) 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 31 ways as a sum of consecutive naturals, for example, 58887946 + ... + 60580628.

It is an arithmetic number, because the mean of its divisors is an integer number (4842557338500).

Almost surely, 2^{101111212122021} is an apocalyptic number.

It is an amenable number.

101111212122021 is a deficient number, since it is larger than the sum of its proper divisors (53850622709979).

101111212122021 is a wasteful number, since it uses less digits than its factorization.

101111212122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769010 (or 1769004 counting only the distinct ones).

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

Adding to 101111212122021 its reverse (120221212111101), we get a palindrome (221332424233122).

The spelling of 101111212122021 in words is "one hundred one trillion, one hundred eleven billion, two hundred twelve million, one hundred twenty-two thousand, twenty-one".