201102011000 has 128 divisors (see below), whose sum is σ = 513670360320. Its totient is φ = 73083600000.

The previous prime is 201102010997. The next prime is 201102011063. The reversal of 201102011000 is 110201102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22116455 + ... + 22125545.

It is an arithmetic number, because the mean of its divisors is an integer number (4013049690).

Almost surely, 2^201102011000 is an apocalyptic number.

201102011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201102011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256835180160).

201102011000 is an abundant number, since it is smaller than the sum of its proper divisors (312568349320).

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

201102011000 is a wasteful number, since it uses less digits than its factorization.

201102011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11134 (or 11120 counting only the distinct ones).

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

Adding to 201102011000 its reverse (110201102), we get a palindrome (201212212102).

It can be divided in two parts, 20110 and 2011000, that multiplied together give a square (40441210000 = 201100²).

The spelling of 201102011000 in words is "two hundred one billion, one hundred two million, eleven thousand".