100212020001 has 12 divisors (see below), whose sum is σ = 148662877012. Its totient is φ = 65002391136.

The previous prime is 100212019993. The next prime is 100212020059. The reversal of 100212020001 is 100020212001.

It can be written as a sum of positive squares in 2 ways, for example, as 54381773601 + 45830246400 = 233199^2 + 214080^2 .

It is not a de Polignac number, because 100212020001 - 2³ = 100212019993 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100212020201) 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, 150468166 + ... + 150468831.

Almost surely, 2^100212020001 is an apocalyptic number.

It is an amenable number.

100212020001 is a deficient number, since it is larger than the sum of its proper divisors (48450857011).

100212020001 is a wasteful number, since it uses less digits than its factorization.

100212020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300937040 (or 300937037 counting only the distinct ones).

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

Adding to 100212020001 its reverse (100020212001), we get a palindrome (200232232002).

It can be divided in two parts, 1002120 and 20001, that added together give a square (1022121 = 1011²).

The spelling of 100212020001 in words is "one hundred billion, two hundred twelve million, twenty thousand, one".