1211100102000 has 120 divisors (see below), whose sum is σ = 4229969019120. Its totient is φ = 322960022400.

The previous prime is 1211100101987. The next prime is 1211100102059. The reversal of 1211100102000 is 2010011121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 33623670 + ... + 33659669.

It is an arithmetic number, because the mean of its divisors is an integer number (35249741826).

Almost surely, 2^{1211100102000} is an apocalyptic number.

1211100102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211100102000 is an abundant number, since it is smaller than the sum of its proper divisors (3018868917120).

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

1211100102000 is a wasteful number, since it uses less digits than its factorization.

1211100102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67283368 (or 67283349 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1211100102000 its reverse (2010011121), we get a palindrome (1213110113121).

The spelling of 1211100102000 in words is "one trillion, two hundred eleven billion, one hundred million, one hundred two thousand".