100210201201 has 12 divisors (see below), whose sum is σ = 110557912500. Its totient is φ = 90761491040.

The previous prime is 100210201193. The next prime is 100210201283. The reversal of 100210201201 is 102102012001.

It can be written as a sum of positive squares in 2 ways, for example, as 46293825600 + 53916375601 = 215160^2 + 232199^2 .

It is not a de Polignac number, because 100210201201 - 2³ = 100210201193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100210201501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1506826 + ... + 1571923.

It is an arithmetic number, because the mean of its divisors is an integer number (9213159375).

Almost surely, 2^100210201201 is an apocalyptic number.

100210201201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210201201 is a deficient number, since it is larger than the sum of its proper divisors (10347711299).

100210201201 is a wasteful number, since it uses less digits than its factorization.

100210201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079040 (or 3079029 counting only the distinct ones).

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

Adding to 100210201201 its reverse (102102012001), we get a palindrome (202312213202).

The spelling of 100210201201 in words is "one hundred billion, two hundred ten million, two hundred one thousand, two hundred one".