101101200002121 has 64 divisors (see below), whose sum is σ = 152207276256000. Its totient is φ = 59158338355200.

The previous prime is 101101200002111. The next prime is 101101200002171. The reversal of 101101200002121 is 121200002101101.

It is not a de Polignac number, because 101101200002121 - 2⁷ = 101101200001993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101200002097 and 101101200002106.

It is not an unprimeable number, because it can be changed into a prime (101101200002111) 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, 2933087875 + ... + 2933122343.

It is an arithmetic number, because the mean of its divisors is an integer number (2378238691500).

Almost surely, 2^{101101200002121} is an apocalyptic number.

101101200002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101200002121 is a deficient number, since it is larger than the sum of its proper divisors (51106076253879).

101101200002121 is a wasteful number, since it uses less digits than its factorization.

101101200002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56970.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101101200002121 its reverse (121200002101101), we get a palindrome (222301202103222).

The spelling of 101101200002121 in words is "one hundred one trillion, one hundred one billion, two hundred million, two thousand, one hundred twenty-one".