1211112120100 has 216 divisors, whose sum is σ = 2884747239360. Its totient is φ = 440688272640.

The previous prime is 1211112120079. The next prime is 1211112120121. The reversal of 1211112120100 is 10212111121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1211112120079) and next prime (1211112120121).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102778809 + ... + 102790591.

Almost surely, 2^{1211112120100} is an apocalyptic number.

1211112120100 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 1211112120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442373619680).

1211112120100 is an abundant number, since it is smaller than the sum of its proper divisors (1673635119260).

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

1211112120100 is a wasteful number, since it uses less digits than its factorization.

1211112120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11939 (or 11909 counting only the distinct ones).

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

Adding to 1211112120100 its reverse (10212111121), we get a palindrome (1221324231221).

The spelling of 1211112120100 in words is "one trillion, two hundred eleven billion, one hundred twelve million, one hundred twenty thousand, one hundred".