101000010222001 has 32 divisors (see below), whose sum is σ = 114726607451136. Its totient is φ = 88817139417600.

The previous prime is 101000010221933. The next prime is 101000010222101. The reversal of 101000010222001 is 100222010000101.

It is not a de Polignac number, because 101000010222001 - 2⁴¹ = 98800986966449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000010222101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93247795 + ... + 94324711.

It is an arithmetic number, because the mean of its divisors is an integer number (3585206482848).

Almost surely, 2^{101000010222001} is an apocalyptic number.

101000010222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101000010222001 is a deficient number, since it is larger than the sum of its proper divisors (13726597229135).

101000010222001 is a wasteful number, since it uses less digits than its factorization.

101000010222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079254 (or 1079232 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101000010222001 its reverse (100222010000101), we get a palindrome (201222020222102).

The spelling of 101000010222001 in words is "one hundred one trillion, ten million, two hundred twenty-two thousand, one".