22101102100038 has 128 divisors (see below), whose sum is σ = 53107712985600. Its totient is φ = 6057467615232.

The previous prime is 22101102100037. The next prime is 22101102100039. The reversal of 22101102100038 is 83000120110122.

It is an interprime number because it is at equal distance from previous prime (22101102100037) and next prime (22101102100039).

It is a junction number, because it is equal to n+sod(n) for n = 22101102099987 and 22101102100023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101102100037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25088533 + ... + 25954511.

It is an arithmetic number, because the mean of its divisors is an integer number (414904007700).

Almost surely, 2^{22101102100038} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22101102100038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26553856492800).

22101102100038 is an abundant number, since it is smaller than the sum of its proper divisors (31006610885562).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22101102100038 is a wasteful number, since it uses less digits than its factorization.

22101102100038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867046.

The product of its (nonzero) digits is 192, while the sum is 21.

The spelling of 22101102100038 in words is "twenty-two trillion, one hundred one billion, one hundred two million, one hundred thousand, thirty-eight".