101202211210221 has 40 divisors (see below), whose sum is σ = 173602233684000. Its totient is φ = 58106532742560.

The previous prime is 101202211210213. The next prime is 101202211210231. The reversal of 101202211210221 is 122012112202101.

101202211210221 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 2 + 211 + 210 + 221 = 666.

It is not a de Polignac number, because 101202211210221 - 2³ = 101202211210213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101202211210194 and 101202211210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202211210211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2989002246 + ... + 2989036103.

It is an arithmetic number, because the mean of its divisors is an integer number (4340055842100).

Almost surely, 2^{101202211210221} is an apocalyptic number.

101202211210221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101202211210221 is a deficient number, since it is larger than the sum of its proper divisors (72400022473779).

101202211210221 is a wasteful number, since it uses less digits than its factorization.

101202211210221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978038391 (or 5978038382 counting only the distinct ones).

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

Adding to 101202211210221 its reverse (122012112202101), we get a palindrome (223214323412322).

The spelling of 101202211210221 in words is "one hundred one trillion, two hundred two billion, two hundred eleven million, two hundred ten thousand, two hundred twenty-one".