101202100222221 has 24 divisors (see below), whose sum is σ = 146589974069760. Its totient is φ = 67279227585696.

The previous prime is 101202100222169. The next prime is 101202100222273. The reversal of 101202100222221 is 122222001202101.

It is a happy number.

101202100222221 is a `hidden beast` number, since 1 + 0 + 12 + 0 + 210 + 0 + 222 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (101202100222169) and next prime (101202100222273).

It is not a de Polignac number, because 101202100222221 - 2¹⁰ = 101202100221197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101202100222194 and 101202100222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202100222021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310733755 + ... + 311059271.

It is an arithmetic number, because the mean of its divisors is an integer number (6107915586240).

Almost surely, 2^{101202100222221} is an apocalyptic number.

It is an amenable number.

101202100222221 is a deficient number, since it is larger than the sum of its proper divisors (45387873847539).

101202100222221 is a wasteful number, since it uses less digits than its factorization.

101202100222221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422105 (or 422102 counting only the distinct ones).

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

Adding to 101202100222221 its reverse (122222001202101), we get a palindrome (223424101424322).

The spelling of 101202100222221 in words is "one hundred one trillion, two hundred two billion, one hundred million, two hundred twenty-two thousand, two hundred twenty-one".