201124101000 has 256 divisors, whose sum is σ = 661280256000. Its totient is φ = 50752915200.

The previous prime is 201124100971. The next prime is 201124101029. The reversal of 201124101000 is 101421102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201124100971) and next prime (201124101029).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75637671 + ... + 75640329.

It is an arithmetic number, because the mean of its divisors is an integer number (2583126000).

Almost surely, 2^201124101000 is an apocalyptic number.

201124101000 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 201124101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330640128000).

201124101000 is an abundant number, since it is smaller than the sum of its proper divisors (460156155000).

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

201124101000 is a wasteful number, since it uses less digits than its factorization.

201124101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4029 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201124101000 its reverse (101421102), we get a palindrome (201225522102).

The spelling of 201124101000 in words is "two hundred one billion, one hundred twenty-four million, one hundred one thousand".