20121011101000 has 128 divisors (see below), whose sum is σ = 49505198652000. Its totient is φ = 7643481216000.

The previous prime is 20121011100991. The next prime is 20121011101001. The reversal of 20121011101000 is 10111012102.

It can be written as a sum of positive squares in 16 ways, for example, as 1323774506916 + 18797236594084 = 1150554^2 + 4335578^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20121011101001) by changing a digit.

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, 3918115 + ... + 7456114.

Almost surely, 2^{20121011101000} is an apocalyptic number.

20121011101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121011101000 is an abundant number, since it is smaller than the sum of its proper divisors (29384187551000).

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

20121011101000 is a wasteful number, since it uses less digits than its factorization.

20121011101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11374340 (or 11374326 counting only the distinct ones).

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

Adding to 20121011101000 its reverse (10111012102), we get a palindrome (20131122113102).

The spelling of 20121011101000 in words is "twenty trillion, one hundred twenty-one billion, eleven million, one hundred one thousand".