101212110011221 has 48 divisors (see below), whose sum is σ = 117286705355904. Its totient is φ = 87101443440000.

The previous prime is 101212110011209. The next prime is 101212110011251. The reversal of 101212110011221 is 122110011212101.

It is not a de Polignac number, because 101212110011221 - 2⁴¹ = 99013086755669 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101212110011195 and 101212110011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212110011251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659625091 + ... + 659778511.

It is an arithmetic number, because the mean of its divisors is an integer number (2443473028248).

Almost surely, 2^{101212110011221} is an apocalyptic number.

101212110011221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101212110011221 is a deficient number, since it is larger than the sum of its proper divisors (16074595344683).

101212110011221 is a wasteful number, since it uses less digits than its factorization.

101212110011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155914 (or 155903 counting only the distinct ones).

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

Adding to 101212110011221 its reverse (122110011212101), we get a palindrome (223322121223322).

The spelling of 101212110011221 in words is "one hundred one trillion, two hundred twelve billion, one hundred ten million, eleven thousand, two hundred twenty-one".