101102122012001 has 16 divisors (see below), whose sum is σ = 112189188844800. Its totient is φ = 90331787878800.

The previous prime is 101102122011973. The next prime is 101102122012063. The reversal of 101102122012001 is 100210221201101.

It is a cyclic number.

It is not a de Polignac number, because 101102122012001 - 2¹⁰ = 101102122010977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101102122012081) 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, 15723755 + ... + 21200016.

It is an arithmetic number, because the mean of its divisors is an integer number (7011824302800).

Almost surely, 2^{101102122012001} is an apocalyptic number.

101102122012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102122012001 is a deficient number, since it is larger than the sum of its proper divisors (11087066832799).

101102122012001 is a wasteful number, since it uses less digits than its factorization.

101102122012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36928060.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101102122012001 its reverse (100210221201101), we get a palindrome (201312343213102).

The spelling of 101102122012001 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-two million, twelve thousand, one".