201011321112140 has 192 divisors, whose sum is σ = 531102874014720. Its totient is φ = 62079562997760.

The previous prime is 201011321112059. The next prime is 201011321112211. The reversal of 201011321112140 is 41211123110102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 578094656 + ... + 578442264.

It is an arithmetic number, because the mean of its divisors is an integer number (2766160802160).

Almost surely, 2^{201011321112140} is an apocalyptic number.

201011321112140 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 201011321112140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265551437007360).

201011321112140 is an abundant number, since it is smaller than the sum of its proper divisors (330091552902580).

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

201011321112140 is a wasteful number, since it uses less digits than its factorization.

201011321112140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351072 (or 351070 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 201011321112140 its reverse (41211123110102), we get a palindrome (242222444222242).

The spelling of 201011321112140 in words is "two hundred one trillion, eleven billion, three hundred twenty-one million, one hundred twelve thousand, one hundred forty".