201102011120010 has 1536 divisors, whose sum is σ = 705399619534848. Its totient is φ = 35342763540480.

The previous prime is 201102011119981. The next prime is 201102011120053. The reversal of 201102011120010 is 10021110201102.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 114718773294 + ... + 114718775046.

It is an arithmetic number, because the mean of its divisors is an integer number (459244543968).

Almost surely, 2^{201102011120010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201102011120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352699809767424).

201102011120010 is an abundant number, since it is smaller than the sum of its proper divisors (504297608414838).

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

201102011120010 is a wasteful number, since it uses less digits than its factorization.

201102011120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201102011120010 its reverse (10021110201102), we get a palindrome (211123121321112).

The spelling of 201102011120010 in words is "two hundred one trillion, one hundred two billion, eleven million, one hundred twenty thousand, ten".