101021210001 has 12 divisors (see below), whose sum is σ = 149863297012. Its totient is φ = 65527271136.

The previous prime is 101021209997. The next prime is 101021210011. The reversal of 101021210001 is 100012120101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 96979302225 + 4041907776 = 311415^2 + 63576^2 .

It is not a de Polignac number, because 101021210001 - 2² = 101021209997 is a prime.

It is a super-2 number, since 2×101021210001² (a number of 23 digits) contains 22 as substring.

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 (101021210011) 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, 151683166 + ... + 151683831.

Almost surely, 2^101021210001 is an apocalyptic number.

It is an amenable number.

101021210001 is a deficient number, since it is larger than the sum of its proper divisors (48842087011).

101021210001 is a wasteful number, since it uses less digits than its factorization.

101021210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303367040 (or 303367037 counting only the distinct ones).

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

Adding to 101021210001 its reverse (100012120101), we get a palindrome (201033330102).

The spelling of 101021210001 in words is "one hundred one billion, twenty-one million, two hundred ten thousand, one".