2011021010020 has 48 divisors (see below), whose sum is σ = 4642234825536. Its totient is φ = 725698064000.

The previous prime is 2011021009997. The next prime is 2011021010021. The reversal of 2011021010020 is 200101201102.

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 = 2011021009979 and 2011021010006.

It is not an unprimeable number, because it can be changed into a prime (2011021010021) 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, 34860511 + ... + 34918150.

It is an arithmetic number, because the mean of its divisors is an integer number (96713225532).

Almost surely, 2^{2011021010020} is an apocalyptic number.

2011021010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011021010020 is an abundant number, since it is smaller than the sum of its proper divisors (2631213815516).

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

2011021010020 is a wasteful number, since it uses less digits than its factorization.

2011021010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69778812 (or 69778810 counting only the distinct ones).

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

Adding to 2011021010020 its reverse (200101201102), we get a palindrome (2211122211122).

The spelling of 2011021010020 in words is "two trillion, eleven billion, twenty-one million, ten thousand, twenty".