10111211000000 has 784 divisors, whose sum is σ = 29146126924800. Its totient is φ = 3441600000000.

The previous prime is 10111210999973. The next prime is 10111211000027. The reversal of 10111211000000 is 11211101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10111210999973) and next prime (10111211000027).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 21108999761 + ... + 21109000239.

Almost surely, 2^{10111211000000} is an apocalyptic number.

10111211000000 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 10111211000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14573063462400).

10111211000000 is an abundant number, since it is smaller than the sum of its proper divisors (19034915924800).

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

10111211000000 is an equidigital number, since it uses as much as digits as its factorization.

10111211000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10111211000000 its reverse (11211101), we get a palindrome (10111222211101).

The spelling of 10111211000000 in words is "ten trillion, one hundred eleven billion, two hundred eleven million", and thus it is an aban number.