101000102212221 has 16 divisors (see below), whose sum is σ = 139321942781760. Its totient is φ = 65006213457920.

The previous prime is 101000102212201. The next prime is 101000102212231. The reversal of 101000102212221 is 122212201000101.

It is a cyclic number.

It is not a de Polignac number, because 101000102212221 - 2⁴² = 96602055701117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000102212221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000102212201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46673295 + ... + 48789308.

It is an arithmetic number, because the mean of its divisors is an integer number (8707621423860).

Almost surely, 2^{101000102212221} is an apocalyptic number.

It is an amenable number.

101000102212221 is a deficient number, since it is larger than the sum of its proper divisors (38321840569539).

101000102212221 is a wasteful number, since it uses less digits than its factorization.

101000102212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95474796.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101000102212221 its reverse (122212201000101), we get a palindrome (223212303212322).

The spelling of 101000102212221 in words is "one hundred one trillion, one hundred two million, two hundred twelve thousand, two hundred twenty-one".