10121121111000 has 128 divisors (see below), whose sum is σ = 31581115637760. Its totient is φ = 2698690608000.

The previous prime is 10121121110999. The next prime is 10121121111043. The reversal of 10121121111000 is 11112112101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30166167 + ... + 30499833.

It is an arithmetic number, because the mean of its divisors is an integer number (246727465920).

Almost surely, 2^{10121121111000} is an apocalyptic number.

10121121111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121121111000 is an abundant number, since it is smaller than the sum of its proper divisors (21459994526760).

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

10121121111000 is a wasteful number, since it uses less digits than its factorization.

10121121111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343802 (or 343788 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10121121111000 its reverse (11112112101), we get a palindrome (10132233223101).

It can be divided in two parts, 10121 and 121111000, that added together give a palindrome (121121121).

The spelling of 10121121111000 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred eleven thousand".