10101000212001 has 14 divisors (see below), whose sum is σ = 15144572335410. Its totient is φ = 6734000140848.

The previous prime is 10101000211999. The next prime is 10101000212077. The reversal of 10101000212001 is 10021200010101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5847304334400 + 4253695877601 = 2418120^2 + 2062449^2 .

It is not a de Polignac number, because 10101000212001 - 2¹ = 10101000211999 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10101000212081) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 6927982956 + ... + 6927984413.

It is an arithmetic number, because the mean of its divisors is an integer number (1081755166815).

Almost surely, 2^{10101000212001} is an apocalyptic number.

It is an amenable number.

10101000212001 is a deficient number, since it is larger than the sum of its proper divisors (5043572123409).

10101000212001 is an frugal number, since it uses more digits than its factorization.

10101000212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13855967387 (or 13855967372 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101000212001 its reverse (10021200010101), we get a palindrome (20122200222102).

The spelling of 10101000212001 in words is "ten trillion, one hundred one billion, two hundred twelve thousand, one".