101120100012121 has 16 divisors (see below), whose sum is σ = 102149259863040. Its totient is φ = 100091862234000.

The previous prime is 101120100012097. The next prime is 101120100012143. The reversal of 101120100012121 is 121210001021101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101120100012121 - 2¹⁹ = 101120099487833 is a prime.

It is a super-3 number, since 3×101120100012121³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101120110012121) 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, 2545867500 + ... + 2545907218.

It is an arithmetic number, because the mean of its divisors is an integer number (6384328741440).

Almost surely, 2^{101120100012121} is an apocalyptic number.

It is an amenable number.

101120100012121 is a deficient number, since it is larger than the sum of its proper divisors (1029159850919).

101120100012121 is a wasteful number, since it uses less digits than its factorization.

101120100012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50676.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101120100012121 its reverse (121210001021101), we get a palindrome (222330101033222).

The spelling of 101120100012121 in words is "one hundred one trillion, one hundred twenty billion, one hundred million, twelve thousand, one hundred twenty-one".