202101001002000 has 480 divisors, whose sum is σ = 719311522232160. Its totient is φ = 52867787980800.

The previous prime is 202101001001951. The next prime is 202101001002011. The reversal of 202101001002000 is 200100101202.

It can be written as a sum of positive squares in 16 ways, for example, as 126568980082944 + 75532020919056 = 11250288^2 + 8690916^2 .

It is a super-3 number, since 3×202101001002000³ (a number of 44 digits) contains 333 as substring.

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

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, 7113963796 + ... + 7113992204.

It is an arithmetic number, because the mean of its divisors is an integer number (1498565671317).

Almost surely, 2^{202101001002000} is an apocalyptic number.

202101001002000 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 202101001002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359655761116080).

202101001002000 is an abundant number, since it is smaller than the sum of its proper divisors (517210521230160).

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

202101001002000 is a wasteful number, since it uses less digits than its factorization.

202101001002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35948 (or 35929 counting only the distinct ones).

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

Adding to 202101001002000 its reverse (200100101202), we get a palindrome (202301101103202).

The spelling of 202101001002000 in words is "two hundred two trillion, one hundred one billion, one million, two thousand".