201002120020 has 48 divisors (see below), whose sum is σ = 455923108368. Its totient is φ = 73995909120.

The previous prime is 201002119949. The next prime is 201002120021. The reversal of 201002120020 is 20021200102.

It can be written as a sum of positive squares in 8 ways, for example, as 71415079696 + 129587040324 = 267236^2 + 359982^2 .

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 = 201002119979 and 201002120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201002120021) 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, 1059391 + ... + 1234630.

It is an arithmetic number, because the mean of its divisors is an integer number (9498398091).

Almost surely, 2^201002120020 is an apocalyptic number.

201002120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002120020 is an abundant number, since it is smaller than the sum of its proper divisors (254920988348).

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

201002120020 is a wasteful number, since it uses less digits than its factorization.

201002120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294380 (or 2294378 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 201002120020 its reverse (20021200102), we get a palindrome (221023320122).

The spelling of 201002120020 in words is "two hundred one billion, two million, one hundred twenty thousand, twenty".