101101022002001 has 16 divisors (see below), whose sum is σ = 116464615289088. Its totient is φ = 85970310681600.

The previous prime is 101101022001929. The next prime is 101101022002139. The reversal of 101101022002001 is 100200220101101.

It is a cyclic number.

It is not a de Polignac number, because 101101022002001 - 2¹⁸ = 101101021739857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101022002301) 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, 113490680 + ... + 114378041.

It is an arithmetic number, because the mean of its divisors is an integer number (7279038455568).

Almost surely, 2^{101101022002001} is an apocalyptic number.

It is an amenable number.

101101022002001 is a deficient number, since it is larger than the sum of its proper divisors (15363593287087).

101101022002001 is a wasteful number, since it uses less digits than its factorization.

101101022002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227869232.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101101022002001 its reverse (100200220101101), we get a palindrome (201301242103102).

The spelling of 101101022002001 in words is "one hundred one trillion, one hundred one billion, twenty-two million, two thousand, one".