201012100000 has 144 divisors (see below), whose sum is σ = 506160791136. Its totient is φ = 78533280000.

The previous prime is 201012099931. The next prime is 201012100019. The reversal of 201012100000 is 1210102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4276627 + ... + 4323373.

It is an arithmetic number, because the mean of its divisors is an integer number (3515005494).

Almost surely, 2^201012100000 is an apocalyptic number.

201012100000 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 201012100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253080395568).

201012100000 is an abundant number, since it is smaller than the sum of its proper divisors (305148691136).

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

201012100000 is an frugal number, since it uses more digits than its factorization.

201012100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46825 (or 46797 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 201012100000 its reverse (1210102), we get a palindrome (201013310102).

The spelling of 201012100000 in words is "two hundred one billion, twelve million, one hundred thousand".