2011001020120 has 64 divisors (see below), whose sum is σ = 4576152477600. Its totient is φ = 795264814080.

The previous prime is 2011001020097. The next prime is 2011001020121. The reversal of 2011001020120 is 210201001102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2011001020097 and 2011001020106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011001020121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33651307 + ... + 33711013.

Almost surely, 2^{2011001020120} is an apocalyptic number.

2011001020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011001020120 is an abundant number, since it is smaller than the sum of its proper divisors (2565151457480).

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

2011001020120 is a wasteful number, since it uses less digits than its factorization.

2011001020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69268 (or 69264 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2011001020120 its reverse (210201001102), we get a palindrome (2221202021222).

The spelling of 2011001020120 in words is "two trillion, eleven billion, one million, twenty thousand, one hundred twenty".