202111201000 has 64 divisors (see below), whose sum is σ = 477623025360. Its totient is φ = 80044000000.

The previous prime is 202111200919. The next prime is 202111201091. The reversal of 202111201000 is 102111202.

202111201000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9634207716 + 192476993284 = 98154^2 + 438722^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 899551 + ... + 1101550.

Almost surely, 2^202111201000 is an apocalyptic number.

202111201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202111201000 is an abundant number, since it is smaller than the sum of its proper divisors (275511824360).

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

202111201000 is a wasteful number, since it uses less digits than its factorization.

202111201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001223 (or 2001209 counting only the distinct ones).

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

Adding to 202111201000 its reverse (102111202), we get a palindrome (202213312202).

The spelling of 202111201000 in words is "two hundred two billion, one hundred eleven million, two hundred one thousand".