202120100110201 has 18 divisors (see below), whose sum is σ = 254596638610782. Its totient is φ = 159919200080640.

The previous prime is 202120100110157. The next prime is 202120100110207. The reversal of 202120100110201 is 102011001021202.

It can be written as a sum of positive squares in 3 ways, for example, as 27364919860201 + 174755180250000 = 5231149^2 + 13219500^2 .

It is not a de Polignac number, because 202120100110201 - 2⁹ = 202120100109689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (202120100110207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12203837880 + ... + 12203854441.

It is an arithmetic number, because the mean of its divisors is an integer number (14144257700599).

Almost surely, 2^{202120100110201} is an apocalyptic number.

It is an amenable number.

202120100110201 is a deficient number, since it is larger than the sum of its proper divisors (52476538500581).

202120100110201 is a wasteful number, since it uses less digits than its factorization.

202120100110201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24407692361 (or 24407692341 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 202120100110201 its reverse (102011001021202), we get a palindrome (304131101131403).

The spelling of 202120100110201 in words is "two hundred two trillion, one hundred twenty billion, one hundred million, one hundred ten thousand, two hundred one".