1010112112100 has 216 divisors, whose sum is σ = 2752144554600. Its totient is φ = 318962810880.

The previous prime is 1010112112001. The next prime is 1010112112109. The reversal of 1010112112100 is 12112110101.

It can be written as a sum of positive squares in 12 ways, for example, as 388146444196 + 621965667904 = 623014^2 + 788648^2 .

It is a super-2 number, since 2×1010112112100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010112112109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28583642 + ... + 28618958.

It is an arithmetic number, because the mean of its divisors is an integer number (12741409975).

Almost surely, 2^{1010112112100} is an apocalyptic number.

1010112112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010112112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376072277300).

1010112112100 is an abundant number, since it is smaller than the sum of its proper divisors (1742032442500).

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

1010112112100 is a wasteful number, since it uses less digits than its factorization.

1010112112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35807 (or 35793 counting only the distinct ones).

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

Adding to 1010112112100 its reverse (12112110101), we get a palindrome (1022224222201).

The spelling of 1010112112100 in words is "one trillion, ten billion, one hundred twelve million, one hundred twelve thousand, one hundred".