202120001000 has 64 divisors (see below), whose sum is σ = 473043430080. Its totient is φ = 80833876800.

The previous prime is 202120000987. The next prime is 202120001009. The reversal of 202120001000 is 100021202.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (202120001009) 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, 7172939 + ... + 7201061.

It is an arithmetic number, because the mean of its divisors is an integer number (7391303595).

Almost surely, 2^202120001000 is an apocalyptic number.

202120001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202120001000 is an abundant number, since it is smaller than the sum of its proper divisors (270923429080).

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

202120001000 is a wasteful number, since it uses less digits than its factorization.

202120001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35331 (or 35317 counting only the distinct ones).

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

Adding to 202120001000 its reverse (100021202), we get a palindrome (202220022202).

The spelling of 202120001000 in words is "two hundred two billion, one hundred twenty million, one thousand".