20100001122101 has 8 divisors (see below), whose sum is σ = 21463849920000. Its totient is φ = 18780868678320.

The previous prime is 20100001122073. The next prime is 20100001122107. The reversal of 20100001122101 is 10122110000102.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20100001122101 is a prime.

It is a super-2 number, since 2×20100001122101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100001122107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11179087601 + ... + 11179089398.

It is an arithmetic number, because the mean of its divisors is an integer number (2682981240000).

Almost surely, 2^{20100001122101} is an apocalyptic number.

It is an amenable number.

20100001122101 is a deficient number, since it is larger than the sum of its proper divisors (1363848797899).

20100001122101 is a wasteful number, since it uses less digits than its factorization.

20100001122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22358177059.

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

Adding to 20100001122101 its reverse (10122110000102), we get a palindrome (30222111122203).

The spelling of 20100001122101 in words is "twenty trillion, one hundred billion, one million, one hundred twenty-two thousand, one hundred one".