2011102120020 has 96 divisors (see below), whose sum is σ = 6592490908416. Its totient is φ = 448468761600.

The previous prime is 2011102120009. The next prime is 2011102120031. The reversal of 2011102120020 is 200212011102.

It is an interprime number because it is at equal distance from previous prime (2011102120009) and next prime (2011102120031).

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

It is a junction number, because it is equal to n+sod(n) for n = 2011102119978 and 2011102120005.

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, 58377151 + ... + 58411590.

It is an arithmetic number, because the mean of its divisors is an integer number (68671780296).

Almost surely, 2^{2011102120020} is an apocalyptic number.

2011102120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011102120020 is an abundant number, since it is smaller than the sum of its proper divisors (4581388788396).

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

2011102120020 is a wasteful number, since it uses less digits than its factorization.

2011102120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116788801 (or 116788799 counting only the distinct ones).

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

Adding to 2011102120020 its reverse (200212011102), we get a palindrome (2211314131122).

The spelling of 2011102120020 in words is "two trillion, eleven billion, one hundred two million, one hundred twenty thousand, twenty".