1011121212100 has 72 divisors (see below), whose sum is σ = 2309931842400. Its totient is φ = 383108947200.

The previous prime is 1011121212089. The next prime is 1011121212109. The reversal of 1011121212100 is 12121211101.

It is a happy number.

1011121212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1011121212100⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1011121212109) 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, 15492336 + ... + 15557464.

It is an arithmetic number, because the mean of its divisors is an integer number (32082386700).

Almost surely, 2^{1011121212100} is an apocalyptic number.

1011121212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011121212100 is an abundant number, since it is smaller than the sum of its proper divisors (1298810630300).

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

1011121212100 is a wasteful number, since it uses less digits than its factorization.

1011121212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73333 (or 73326 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1011121212100 its reverse (12121211101), we get a palindrome (1023242423201).

Subtracting from 1011121212100 its reverse (12121211101), we obtain a palindrome (999000000999).

It can be divided in two parts, 1011121 and 212100, that added together give a palindrome (1223221).

The spelling of 1011121212100 in words is "one trillion, eleven billion, one hundred twenty-one million, two hundred twelve thousand, one hundred".