1010011212100 has 108 divisors (see below), whose sum is σ = 2409731993844. Its totient is φ = 367178240000.

The previous prime is 1010011212083. The next prime is 1010011212101. The reversal of 1010011212100 is 12121100101.

It can be written as a sum of positive squares in 6 ways, for example, as 56904194116 + 953107017984 = 238546^2 + 976272^2 .

It is a super-2 number, since 2×1010011212100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1010011212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57115260 + ... + 57132940.

Almost surely, 2^{1010011212100} is an apocalyptic number.

1010011212100 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 1010011212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204865996922).

1010011212100 is an abundant number, since it is smaller than the sum of its proper divisors (1399720781744).

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

1010011212100 is a wasteful number, since it uses less digits than its factorization.

1010011212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22438 (or 22420 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1010011212100 its reverse (12121100101), we get a palindrome (1022132312201).

The spelling of 1010011212100 in words is "one trillion, ten billion, eleven million, two hundred twelve thousand, one hundred".