202120001001 has 64 divisors (see below), whose sum is σ = 306594858240. Its totient is φ = 131568053760.

The previous prime is 202120000987. The next prime is 202120001009. The reversal of 202120001001 is 100100021202.

It is not a de Polignac number, because 202120001001 - 2¹⁴ = 202119984617 is a prime.

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

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 63 ways as a sum of consecutive naturals, for example, 158276575 + ... + 158277851.

It is an arithmetic number, because the mean of its divisors is an integer number (4790544660).

Almost surely, 2^202120001001 is an apocalyptic number.

It is an amenable number.

202120001001 is a deficient number, since it is larger than the sum of its proper divisors (104474857239).

202120001001 is a wasteful number, since it uses less digits than its factorization.

202120001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2097 counting only the distinct ones).

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

Adding to 202120001001 its reverse (100100021202), we get a palindrome (302220022203).

The spelling of 202120001001 in words is "two hundred two billion, one hundred twenty million, one thousand, one".