100011212010100 has 36 divisors (see below), whose sum is σ = 217246463672364. Its totient is φ = 39963538516480.

The previous prime is 100011212010091. The next prime is 100011212010109. The reversal of 100011212010100 is 1010212110001.

It is an interprime number because it is at equal distance from previous prime (100011212010091) and next prime (100011212010109).

It can be written as a sum of positive squares in 6 ways, for example, as 4978583663076 + 95032628347024 = 2231274^2 + 9748468^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011212010109) 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, 511730407 + ... + 511925806.

It is an arithmetic number, because the mean of its divisors is an integer number (6034623990899).

Almost surely, 2^{100011212010100} is an apocalyptic number.

100011212010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011212010100 is an abundant number, since it is smaller than the sum of its proper divisors (117235251662264).

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

100011212010100 is a wasteful number, since it uses less digits than its factorization.

100011212010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023657204 (or 1023657197 counting only the distinct ones).

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

Adding to 100011212010100 its reverse (1010212110001), we get a palindrome (101021424120101).

Subtracting from 100011212010100 its reverse (1010212110001), we obtain a palindrome (99000999900099).

The spelling of 100011212010100 in words is "one hundred trillion, eleven billion, two hundred twelve million, ten thousand, one hundred".