22101101002101 has 32 divisors (see below), whose sum is σ = 32715840384000. Its totient is φ = 13157945386880.

The previous prime is 22101101002081. The next prime is 22101101002109. The reversal of 22101101002101 is 10120010110122.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22101101002101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101101002109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1490376 + ... + 6813473.

It is an arithmetic number, because the mean of its divisors is an integer number (1022370012000).

Almost surely, 2^{22101101002101} is an apocalyptic number.

It is an amenable number.

22101101002101 is a deficient number, since it is larger than the sum of its proper divisors (10614739381899).

22101101002101 is a wasteful number, since it uses less digits than its factorization.

22101101002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8305289.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22101101002101 its reverse (10120010110122), we get a palindrome (32221111112223).

The spelling of 22101101002101 in words is "twenty-two trillion, one hundred one billion, one hundred one million, two thousand, one hundred one".