20111101201000 has 128 divisors (see below), whose sum is σ = 50510792086560. Its totient is φ = 7467522048000.

The previous prime is 20111101200991. The next prime is 20111101201031. The reversal of 20111101201000 is 10210111102.

It can be written as a sum of positive squares in 16 ways, for example, as 99417873636 + 20011683327364 = 315306^2 + 4473442^2 .

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

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, 6861781 + ... + 9343780.

Almost surely, 2^{20111101201000} is an apocalyptic number.

20111101201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111101201000 is an abundant number, since it is smaller than the sum of its proper divisors (30399690885560).

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

20111101201000 is a wasteful number, since it uses less digits than its factorization.

20111101201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16205672 (or 16205658 counting only the distinct ones).

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

Adding to 20111101201000 its reverse (10210111102), we get a palindrome (20121311312102).

The spelling of 20111101201000 in words is "twenty trillion, one hundred eleven billion, one hundred one million, two hundred one thousand".