101012110222221 has 96 divisors (see below), whose sum is σ = 170685468345600. Its totient is φ = 56939878195200.

The previous prime is 101012110222189. The next prime is 101012110222223. The reversal of 101012110222221 is 122222011210101.

101012110222221 is a `hidden beast` number, since 1 + 0 + 10 + 1 + 211 + 0 + 222 + 221 = 666.

It is not a de Polignac number, because 101012110222221 - 2⁵ = 101012110222189 is a prime.

It is a super-2 number, since 2×101012110222221² (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 = 101012110222194 and 101012110222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012110222223) 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 95 ways as a sum of consecutive naturals, for example, 136197805 + ... + 136937453.

It is an arithmetic number, because the mean of its divisors is an integer number (1777973628600).

Almost surely, 2^{101012110222221} is an apocalyptic number.

101012110222221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101012110222221 is a deficient number, since it is larger than the sum of its proper divisors (69673358123379).

101012110222221 is a wasteful number, since it uses less digits than its factorization.

101012110222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741347 (or 741344 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101012110222221 its reverse (122222011210101), we get a palindrome (223234121432322).

The spelling of 101012110222221 in words is "one hundred one trillion, twelve billion, one hundred ten million, two hundred twenty-two thousand, two hundred twenty-one".