110122010002100 has 18 divisors (see below), whose sum is σ = 238964761704774. Its totient is φ = 44048804000800.

The previous prime is 110122010002093. The next prime is 110122010002133. The reversal of 110122010002100 is 1200010221011.

It can be written as a sum of positive squares in 3 ways, for example, as 16523428269604 + 93598581732496 = 4064902^2 + 9674636^2 .

It is a super-2 number, since 2×110122010002100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 550610049911 + ... + 550610050110.

Almost surely, 2^{110122010002100} is an apocalyptic number.

110122010002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110122010002100 is an abundant number, since it is smaller than the sum of its proper divisors (128842751702674).

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

110122010002100 is a wasteful number, since it uses less digits than its factorization.

110122010002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101220100035 (or 1101220100028 counting only the distinct ones).

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

Adding to 110122010002100 its reverse (1200010221011), we get a palindrome (111322020223111).

The spelling of 110122010002100 in words is "one hundred ten trillion, one hundred twenty-two billion, ten million, two thousand, one hundred".