101220222022101 has 96 divisors (see below), whose sum is σ = 184829709163008. Its totient is φ = 51942488716800.

The previous prime is 101220222022081. The next prime is 101220222022121.

It is a happy number.

101220222022101 is a `hidden beast` number, since 1 + 0 + 1 + 220 + 2 + 220 + 221 + 0 + 1 = 666.

101220222022101 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (101220222022081) and next prime (101220222022121).

It is not a de Polignac number, because 101220222022101 - 2¹⁰ = 101220222021077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220222022121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299861320 + ... + 300198686.

It is an arithmetic number, because the mean of its divisors is an integer number (1925309470448).

Almost surely, 2^{101220222022101} is an apocalyptic number.

It is an amenable number.

101220222022101 is a deficient number, since it is larger than the sum of its proper divisors (83609487140907).

101220222022101 is a wasteful number, since it uses less digits than its factorization.

101220222022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347331 (or 347328 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 101220222022101 in words is "one hundred one trillion, two hundred twenty billion, two hundred twenty-two million, twenty-two thousand, one hundred one".