101002112012121 has 16 divisors (see below), whose sum is σ = 135267650289408. Its totient is φ = 67035679074000.

The previous prime is 101002112012101. The next prime is 101002112012141. The reversal of 101002112012121 is 121210211200101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101002112012101) and next prime (101002112012141).

It is not a de Polignac number, because 101002112012121 - 2¹⁴ = 101002111995737 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101002112012121.

It is not an unprimeable number, because it can be changed into a prime (101002112012101) 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, 16179546 + ... + 21535596.

It is an arithmetic number, because the mean of its divisors is an integer number (8454228143088).

Almost surely, 2^{101002112012121} is an apocalyptic number.

It is an amenable number.

101002112012121 is a deficient number, since it is larger than the sum of its proper divisors (34265538277287).

101002112012121 is a wasteful number, since it uses less digits than its factorization.

101002112012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5383972.

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

Adding to 101002112012121 its reverse (121210211200101), we get a palindrome (222212323212222).

The spelling of 101002112012121 in words is "one hundred one trillion, two billion, one hundred twelve million, twelve thousand, one hundred twenty-one".