10212001000201 has 96 divisors (see below), whose sum is σ = 14420502996480. Its totient is φ = 7023617187840.

The previous prime is 10212001000189. The next prime is 10212001000211. The reversal of 10212001000201 is 10200010021201.

It is not a de Polignac number, because 10212001000201 - 2¹¹ = 10212000998153 is a prime.

It is a super-3 number, since 3×10212001000201³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10212001000211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1183446955 + ... + 1183455583.

It is an arithmetic number, because the mean of its divisors is an integer number (150213572880).

Almost surely, 2^{10212001000201} is an apocalyptic number.

10212001000201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10212001000201 is a deficient number, since it is larger than the sum of its proper divisors (4208501996279).

10212001000201 is a wasteful number, since it uses less digits than its factorization.

10212001000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13367 (or 13356 counting only the distinct ones).

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

Adding to 10212001000201 its reverse (10200010021201), we get a palindrome (20412011021402).

The spelling of 10212001000201 in words is "ten trillion, two hundred twelve billion, one million, two hundred one", and thus it is an aban number.