201011001121000 has 384 divisors, whose sum is σ = 553970983606560. Its totient is φ = 68064546816000.

The previous prime is 201011001120869. The next prime is 201011001121009. The reversal of 201011001121000 is 121100110102.

It can be written as a sum of positive squares in 16 ways, for example, as 42501037795524 + 158509963325476 = 6519282^2 + 12590074^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (201011001121009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1555832404 + ... + 1555961596.

Almost surely, 2^{201011001121000} is an apocalyptic number.

201011001121000 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 201011001121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276985491803280).

201011001121000 is an abundant number, since it is smaller than the sum of its proper divisors (352959982485560).

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

201011001121000 is a wasteful number, since it uses less digits than its factorization.

201011001121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129622 (or 129601 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201011001121000 its reverse (121100110102), we get a palindrome (201132101231102).

The spelling of 201011001121000 in words is "two hundred one trillion, eleven billion, one million, one hundred twenty-one thousand".