201101102000 has 80 divisors (see below), whose sum is σ = 486366733632. Its totient is φ = 80423193600.

The previous prime is 201101101991. The next prime is 201101102017. The reversal of 201101102000 is 201101102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×201101102000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13638632 + ... + 13653368.

Almost surely, 2^201101102000 is an apocalyptic number.

201101102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101102000 is an abundant number, since it is smaller than the sum of its proper divisors (285265631632).

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

201101102000 is a wasteful number, since it uses less digits than its factorization.

201101102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21583 (or 21567 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201101102000 its reverse (201101102), we get a palindrome (201302203102).

201101102000 divided by its reverse (201101102) gives a cube (1000 = 10³).

The spelling of 201101102000 in words is "two hundred one billion, one hundred one million, one hundred two thousand".