110001022102101 has 16 divisors (see below), whose sum is σ = 158036450122880. Its totient is φ = 67655966160960.

The previous prime is 110001022102063. The next prime is 110001022102109. The reversal of 110001022102101 is 101201220100011.

It is not a de Polignac number, because 110001022102101 - 2¹⁵ = 110001022069333 is a prime.

It is a super-2 number, since 2×110001022102101² (a number of 29 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 (110001022102109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770146786 + ... + 770289603.

It is an arithmetic number, because the mean of its divisors is an integer number (9877278132680).

Almost surely, 2^{110001022102101} is an apocalyptic number.

It is an amenable number.

110001022102101 is a deficient number, since it is larger than the sum of its proper divisors (48035428020779).

110001022102101 is a wasteful number, since it uses less digits than its factorization.

110001022102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540438236.

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

Adding to 110001022102101 its reverse (101201220100011), we get a palindrome (211202242202112).

The spelling of 110001022102101 in words is "one hundred ten trillion, one billion, twenty-two million, one hundred two thousand, one hundred one".