10112201110100 has 36 divisors (see below), whose sum is σ = 21980480713884. Its totient is φ = 4038059374080.

The previous prime is 10112201110093. The next prime is 10112201110103. The reversal of 10112201110100 is 101110221101.

It can be written as a sum of positive squares in 6 ways, for example, as 1337418235024 + 8774782875076 = 1156468^2 + 2962226^2 .

It is a super-2 number, since 2×10112201110100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112201110103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85203779 + ... + 85322378.

It is an arithmetic number, because the mean of its divisors is an integer number (610568908719).

Almost surely, 2^{10112201110100} is an apocalyptic number.

10112201110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112201110100 is an abundant number, since it is smaller than the sum of its proper divisors (11868279603784).

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

10112201110100 is a wasteful number, since it uses less digits than its factorization.

10112201110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170526764 (or 170526757 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10112201110100 its reverse (101110221101), we get a palindrome (10213311331201).

The spelling of 10112201110100 in words is "ten trillion, one hundred twelve billion, two hundred one million, one hundred ten thousand, one hundred".