10101002012001 has 6 divisors (see below), whose sum is σ = 14590336239570. Its totient is φ = 6734001341328.

The previous prime is 10101002011993. The next prime is 10101002012033. The reversal of 10101002012001 is 10021020010101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9942260328225 + 158741683776 = 3153135^2 + 398424^2 .

It is not a de Polignac number, because 10101002012001 - 2³ = 10101002011993 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: 1122333556889 = 10101002012001 / (1 + 0 + 1 + 0 + 1 + 0 + 0 + 2 + 0 + 1 + 2 + 0 + 0 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10101002012501) 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, 561166778436 + ... + 561166778453.

It is an arithmetic number, because the mean of its divisors is an integer number (2431722706595).

Almost surely, 2^{10101002012001} is an apocalyptic number.

It is an amenable number.

10101002012001 is a deficient number, since it is larger than the sum of its proper divisors (4489334227569).

10101002012001 is a wasteful number, since it uses less digits than its factorization.

10101002012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122333556895 (or 1122333556892 counting only the distinct ones).

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

Adding to 10101002012001 its reverse (10021020010101), we get a palindrome (20122022022102).

The spelling of 10101002012001 in words is "ten trillion, one hundred one billion, two million, twelve thousand, one".