10001122022101 has 8 divisors (see below), whose sum is σ = 11441181650240. Its totient is φ = 8563894371648.

The previous prime is 10001122022027. The next prime is 10001122022137. The reversal of 10001122022101 is 10122022110001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10001122022101 - 2¹⁷ = 10001121891029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001122022161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 707986851 + ... + 708000976.

It is an arithmetic number, because the mean of its divisors is an integer number (1430147706280).

Almost surely, 2^{10001122022101} is an apocalyptic number.

It is an amenable number.

10001122022101 is a deficient number, since it is larger than the sum of its proper divisors (1440059628139).

10001122022101 is a wasteful number, since it uses less digits than its factorization.

10001122022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415988843.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10001122022101 its reverse (10122022110001), we get a palindrome (20123144132102).

The spelling of 10001122022101 in words is "ten trillion, one billion, one hundred twenty-two million, twenty-two thousand, one hundred one".