201002000101100 has 288 divisors, whose sum is σ = 522699745075200. Its totient is φ = 66227386579200.

The previous prime is 201002000101057. The next prime is 201002000101121. The reversal of 201002000101100 is 1101000200102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7652250167 + ... + 7652276433.

It is an arithmetic number, because the mean of its divisors is an integer number (1814929670400).

Almost surely, 2^{201002000101100} is an apocalyptic number.

201002000101100 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 201002000101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261349872537600).

201002000101100 is an abundant number, since it is smaller than the sum of its proper divisors (321697744974100).

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

201002000101100 is a wasteful number, since it uses less digits than its factorization.

201002000101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42253 (or 42246 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201002000101100 its reverse (1101000200102), we get a palindrome (202103000301202).

The spelling of 201002000101100 in words is "two hundred one trillion, two billion, one hundred one thousand, one hundred".