2101010020020 has 288 divisors, whose sum is σ = 7039474041600. Its totient is φ = 505395652608.

The previous prime is 2101010020013. The next prime is 2101010020147. The reversal of 2101010020020 is 200200101012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2101010019984 and 2101010020011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4959096 + ... + 5366064.

It is an arithmetic number, because the mean of its divisors is an integer number (24442618200).

Almost surely, 2^{2101010020020} is an apocalyptic number.

2101010020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101010020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519737020800).

2101010020020 is an abundant number, since it is smaller than the sum of its proper divisors (4938464021580).

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

2101010020020 is a wasteful number, since it uses less digits than its factorization.

2101010020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407079 (or 407074 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2101010020020 its reverse (200200101012), we get a palindrome (2301210121032).

The spelling of 2101010020020 in words is "two trillion, one hundred one billion, ten million, twenty thousand, twenty".