100551055101101 has 24 divisors (see below), whose sum is σ = 111696584844600. Its totient is φ = 90440751104000.

The previous prime is 100551055101071. The next prime is 100551055101191. The reversal of 100551055101101 is 101101550155001.

It can be written as a sum of positive squares in 4 ways, for example, as 6089197816900 + 94461857284201 = 2467630^2 + 9719149^2 .

It is not a de Polignac number, because 100551055101101 - 2¹⁴ = 100551055084717 is a prime.

It is a super-2 number, since 2×100551055101101² (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 (100551055101191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14299685 + ... + 20139093.

It is an arithmetic number, because the mean of its divisors is an integer number (4654024368525).

Almost surely, 2^{100551055101101} is an apocalyptic number.

100551055101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100551055101101 is a deficient number, since it is larger than the sum of its proper divisors (11145529743499).

100551055101101 is a wasteful number, since it uses less digits than its factorization.

100551055101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5840941 (or 5840930 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 26.

The spelling of 100551055101101 in words is "one hundred trillion, five hundred fifty-one billion, fifty-five million, one hundred one thousand, one hundred one".