101102222002001 has 16 divisors (see below), whose sum is σ = 110347438246080. Its totient is φ = 91866030482880.

The previous prime is 101102222001967. The next prime is 101102222002013. The reversal of 101102222002001 is 100200222201101.

It is a cyclic number.

It is not a de Polignac number, because 101102222002001 - 2¹⁴ = 101102221985617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101102222002021) 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, 291137810 + ... + 291484868.

It is an arithmetic number, because the mean of its divisors is an integer number (6896714890380).

Almost surely, 2^{101102222002001} is an apocalyptic number.

101102222002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102222002001 is a deficient number, since it is larger than the sum of its proper divisors (9245216244079).

101102222002001 is a wasteful number, since it uses less digits than its factorization.

101102222002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359984.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101102222002001 its reverse (100200222201101), we get a palindrome (201302444203102).

The spelling of 101102222002001 in words is "one hundred one trillion, one hundred two billion, two hundred twenty-two million, two thousand, one".