212002100001 has 6 divisors (see below), whose sum is σ = 306225255570. Its totient is φ = 141334733328.

The previous prime is 212002099987. The next prime is 212002100003. The reversal of 212002100001 is 100001200212.

It can be written as a sum of positive squares in only one way, i.e., 145314202401 + 66687897600 = 381201^2 + 258240^2 .

It is not a de Polignac number, because 212002100001 - 2¹⁰ = 212002098977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 23555788889 = 212002100001 / (2 + 1 + 2 + 0 + 0 + 2 + 1 + 0 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (212002100003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11777894436 + ... + 11777894453.

It is an arithmetic number, because the mean of its divisors is an integer number (51037542595).

Almost surely, 2^212002100001 is an apocalyptic number.

It is an amenable number.

212002100001 is a deficient number, since it is larger than the sum of its proper divisors (94223155569).

212002100001 is a wasteful number, since it uses less digits than its factorization.

212002100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23555788895 (or 23555788892 counting only the distinct ones).

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

Adding to 212002100001 its reverse (100001200212), we get a palindrome (312003300213).

The spelling of 212002100001 in words is "two hundred twelve billion, two million, one hundred thousand, one".