20122100102101 has 8 divisors (see below), whose sum is σ = 20124425585880. Its totient is φ = 20119774789632.

The previous prime is 20122100102059. The next prime is 20122100102113. The reversal of 20122100102101 is 10120100122102.

It can be written as a sum of positive squares in 4 ways, for example, as 2345336039601 + 17776764062500 = 1531449^2 + 4216250^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 20122100102101 - 2⁷ = 20122100101973 is a prime.

It is a super-2 number, since 2×20122100102101² (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 (20122100102141) 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, 496466205 + ... + 496506733.

It is an arithmetic number, because the mean of its divisors is an integer number (2515553198235).

Almost surely, 2^{20122100102101} is an apocalyptic number.

It is an amenable number.

20122100102101 is a deficient number, since it is larger than the sum of its proper divisors (2325483779).

20122100102101 is a wasteful number, since it uses less digits than its factorization.

20122100102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85655.

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

Adding to 20122100102101 its reverse (10120100122102), we get a palindrome (30242200224203).

The spelling of 20122100102101 in words is "twenty trillion, one hundred twenty-two billion, one hundred million, one hundred two thousand, one hundred one".