10121111200000 has 108 divisors (see below), whose sum is σ = 25251744292740. Its totient is φ = 4048444160000.

The previous prime is 10121111199961. The next prime is 10121111200043. The reversal of 10121111200000 is 211112101.

It can be written as a sum of positive squares in 6 ways, for example, as 5601439293696 + 4519671906304 = 2366736^2 + 2125952^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10121111200000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5525695 + ... + 7125694.

It is an arithmetic number, because the mean of its divisors is an integer number (233812447155).

Almost surely, 2^{10121111200000} is an apocalyptic number.

10121111200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121111200000 is an abundant number, since it is smaller than the sum of its proper divisors (15130633092740).

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

10121111200000 is an frugal number, since it uses more digits than its factorization.

10121111200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12651430 (or 12651396 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10121111200000 its reverse (211112101), we get a palindrome (10121322312101).

The spelling of 10121111200000 in words is "ten trillion, one hundred twenty-one billion, one hundred eleven million, two hundred thousand".