101121012100221 has 16 divisors (see below), whose sum is σ = 138561411264000. Its totient is φ = 65549662993728.

The previous prime is 101121012100211. The next prime is 101121012100279. The reversal of 101121012100221 is 122001210121101.

It is a happy number.

It is not a de Polignac number, because 101121012100221 - 2⁵ = 101121012100189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101121012100221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121012100211) 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 15 ways as a sum of consecutive naturals, for example, 293888781 + ... + 294232658.

It is an arithmetic number, because the mean of its divisors is an integer number (8660088204000).

Almost surely, 2^{101121012100221} is an apocalyptic number.

It is an amenable number.

101121012100221 is a deficient number, since it is larger than the sum of its proper divisors (37440399163779).

101121012100221 is a wasteful number, since it uses less digits than its factorization.

101121012100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588123028.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101121012100221 its reverse (122001210121101), we get a palindrome (223122222221322).

The spelling of 101121012100221 in words is "one hundred one trillion, one hundred twenty-one billion, twelve million, one hundred thousand, two hundred twenty-one".