201012011310000 has 200 divisors, whose sum is σ = 707883900191424. Its totient is φ = 48730184480000.

The previous prime is 201012011309939. The next prime is 201012011310001. The reversal of 201012011310000 is 13110210102.

201012011310000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×201012011310000² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (201012011310001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 304233654 + ... + 304893653.

Almost surely, 2^{201012011310000} is an apocalyptic number.

201012011310000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012011310000 is an abundant number, since it is smaller than the sum of its proper divisors (506871888881424).

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

201012011310000 is a wasteful number, since it uses less digits than its factorization.

201012011310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609127349 (or 609127328 counting only the distinct ones).

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

Adding to 201012011310000 its reverse (13110210102), we get a palindrome (201025121520102).

The spelling of 201012011310000 in words is "two hundred one trillion, twelve billion, eleven million, three hundred ten thousand".