101000212001 has 8 divisors (see below), whose sum is σ = 109370397864. Its totient is φ = 92715874560.

The previous prime is 101000211973. The next prime is 101000212037. The reversal of 101000212001 is 100212000101.

It can be written as a sum of positive squares in 4 ways, for example, as 9230597776 + 91769614225 = 96076^2 + 302935^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101000212001 - 2¹⁴ = 101000195617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000212001.

It is not an unprimeable number, because it can be changed into a prime (101000212081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21459656 + ... + 21464361.

It is an arithmetic number, because the mean of its divisors is an integer number (13671299733).

Almost surely, 2^101000212001 is an apocalyptic number.

It is an amenable number.

101000212001 is a deficient number, since it is larger than the sum of its proper divisors (8370185863).

101000212001 is a wasteful number, since it uses less digits than its factorization.

101000212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42924211.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101000212001 its reverse (100212000101), we get a palindrome (201212212102).

The spelling of 101000212001 in words is "one hundred one billion, two hundred twelve thousand, one".