10001111212100 has 72 divisors (see below), whose sum is σ = 22065807880200. Its totient is φ = 3933984337920.

The previous prime is 10001111212067. The next prime is 10001111212109. The reversal of 10001111212100 is 121211110001.

It can be written as a sum of positive squares in 12 ways, for example, as 1115131776004 + 8885979436096 = 1055998^2 + 2980936^2 .

It is not an unprimeable number, because it can be changed into a prime (10001111212109) 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, 1760675 + ... + 4806474.

Almost surely, 2^{10001111212100} is an apocalyptic number.

10001111212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001111212100 is an abundant number, since it is smaller than the sum of its proper divisors (12064696668100).

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

10001111212100 is a wasteful number, since it uses less digits than its factorization.

10001111212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6567417 (or 6567410 counting only the distinct ones).

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

Adding to 10001111212100 its reverse (121211110001), we get a palindrome (10122322322101).

The spelling of 10001111212100 in words is "ten trillion, one billion, one hundred eleven million, two hundred twelve thousand, one hundred".