201005142000 has 640 divisors, whose sum is σ = 766690928640. Its totient is φ = 44828467200.

The previous prime is 201005141993. The next prime is 201005142047. The reversal of 201005142000 is 241500102.

It is a super-2 number, since 2×201005142000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34083052 + ... + 34088948.

It is an arithmetic number, because the mean of its divisors is an integer number (1197954576).

Almost surely, 2^201005142000 is an apocalyptic number.

201005142000 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 201005142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383345464320).

201005142000 is an abundant number, since it is smaller than the sum of its proper divisors (565685786640).

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

201005142000 is a wasteful number, since it uses less digits than its factorization.

201005142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 5962 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 201005142000 its reverse (241500102), we get a palindrome (201246642102).

The spelling of 201005142000 in words is "two hundred one billion, five million, one hundred forty-two thousand".