101101000022001 has 96 divisors (see below), whose sum is σ = 182816200419840. Its totient is φ = 52496324794368.

The previous prime is 101101000021939. The next prime is 101101000022017. The reversal of 101101000022001 is 100220000101101.

It is a happy number.

It is not a de Polignac number, because 101101000022001 - 2¹³ = 101101000013809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101101000022041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 844651780 + ... + 844771466.

It is an arithmetic number, because the mean of its divisors is an integer number (1904335421040).

Almost surely, 2^{101101000022001} is an apocalyptic number.

It is an amenable number.

101101000022001 is a deficient number, since it is larger than the sum of its proper divisors (81715200397839).

101101000022001 is a wasteful number, since it uses less digits than its factorization.

101101000022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146943 (or 146940 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101101000022001 its reverse (100220000101101), we get a palindrome (201321000123102).

The spelling of 101101000022001 in words is "one hundred one trillion, one hundred one billion, twenty-two thousand, one".