101102010221121 has 64 divisors (see below), whose sum is σ = 170399603404800. Its totient is φ = 51885841303296.

The previous prime is 101102010221119. The next prime is 101102010221137. The reversal of 101102010221121 is 121122010201101.

It is a happy number.

It is not a de Polignac number, because 101102010221121 - 2¹ = 101102010221119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101102010221121.

It is not an unprimeable number, because it can be changed into a prime (101102010221111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 457656790 + ... + 457877648.

It is an arithmetic number, because the mean of its divisors is an integer number (2662493803200).

Almost surely, 2^{101102010221121} is an apocalyptic number.

It is an amenable number.

101102010221121 is a deficient number, since it is larger than the sum of its proper divisors (69297593183679).

101102010221121 is a wasteful number, since it uses less digits than its factorization.

101102010221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266238.

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

Adding to 101102010221121 its reverse (121122010201101), we get a palindrome (222224020422222).

The spelling of 101102010221121 in words is "one hundred one trillion, one hundred two billion, ten million, two hundred twenty-one thousand, one hundred twenty-one".