101101012021121 has 16 divisors (see below), whose sum is σ = 116731410645120. Its totient is φ = 85768100812800.

The previous prime is 101101012021069. The next prime is 101101012021171. The reversal of 101101012021121 is 121120210101101.

It is not a de Polignac number, because 101101012021121 - 2³⁰ = 101099938279297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101012021096 and 101101012021105.

It is not an unprimeable number, because it can be changed into a prime (101101012021171) 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, 24688691 + ... + 28490936.

It is an arithmetic number, because the mean of its divisors is an integer number (7295713165320).

Almost surely, 2^{101101012021121} is an apocalyptic number.

It is an amenable number.

101101012021121 is a deficient number, since it is larger than the sum of its proper divisors (15630398623999).

101101012021121 is a wasteful number, since it uses less digits than its factorization.

101101012021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53182424.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101101012021121 its reverse (121120210101101), we get a palindrome (222221222122222).

The spelling of 101101012021121 in words is "one hundred one trillion, one hundred one billion, twelve million, twenty-one thousand, one hundred twenty-one".