101102120102121 has 16 divisors (see below), whose sum is σ = 137671591673088. Its totient is φ = 65967043875200.

The previous prime is 101102120102111. The next prime is 101102120102129. The reversal of 101102120102121 is 121201021201101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101102120102121 - 2²³ = 101102111713513 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101102120102121.

It is not an unprimeable number, because it can be changed into a prime (101102120102129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32352211 + ... + 35339351.

It is an arithmetic number, because the mean of its divisors is an integer number (8604474479568).

Almost surely, 2^{101102120102121} is an apocalyptic number.

It is an amenable number.

101102120102121 is a deficient number, since it is larger than the sum of its proper divisors (36569471570967).

101102120102121 is a wasteful number, since it uses less digits than its factorization.

101102120102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227232.

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

Adding to 101102120102121 its reverse (121201021201101), we get a palindrome (222303141303222).

The spelling of 101102120102121 in words is "one hundred one trillion, one hundred two billion, one hundred twenty million, one hundred two thousand, one hundred twenty-one".