20101222100001 has 48 divisors (see below), whose sum is σ = 32076120373440. Its totient is φ = 11156394695040.

The previous prime is 20101222099979. The next prime is 20101222100039. The reversal of 20101222100001 is 10000122210102.

It is not a de Polignac number, because 20101222100001 - 2²¹ = 20101220002849 is a prime.

It is a super-2 number, since 2×20101222100001² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20101222100001.

It is not an unprimeable number, because it can be changed into a prime (20101222100041) 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 47 ways as a sum of consecutive naturals, for example, 130546 + ... + 6341883.

It is an arithmetic number, because the mean of its divisors is an integer number (668252507780).

Almost surely, 2^{20101222100001} is an apocalyptic number.

20101222100001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20101222100001 is a deficient number, since it is larger than the sum of its proper divisors (11974898273439).

20101222100001 is a wasteful number, since it uses less digits than its factorization.

20101222100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6473054 (or 6473047 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20101222100001 its reverse (10000122210102), we get a palindrome (30101344310103).

The spelling of 20101222100001 in words is "twenty trillion, one hundred one billion, two hundred twenty-two million, one hundred thousand, one".