2011020201102 has 64 divisors (see below), whose sum is σ = 4439918055168. Its totient is φ = 607199392800.

The previous prime is 2011020201083. The next prime is 2011020201143.

2011020201102 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2011020201102³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1757577 + ... + 2666667.

It is an arithmetic number, because the mean of its divisors is an integer number (69373719612).

Almost surely, 2^{2011020201102} is an apocalyptic number.

2011020201102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011020201102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219959027584).

2011020201102 is an abundant number, since it is smaller than the sum of its proper divisors (2428897854066).

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

2011020201102 is a wasteful number, since it uses less digits than its factorization.

2011020201102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909406 (or 909384 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 2011020 and 201102, that added together give a palindrome (2212122).

The spelling of 2011020201102 in words is "two trillion, eleven billion, twenty million, two hundred one thousand, one hundred two".