10010201102001 has 32 divisors (see below), whose sum is σ = 15610749120000. Its totient is φ = 6322111156944.

The previous prime is 10010201101981. The next prime is 10010201102009. The reversal of 10010201102001 is 10020110201001.

It is a happy number.

It is not a de Polignac number, because 10010201102001 - 2⁹ = 10010201101489 is a prime.

It is a super-2 number, since 2×10010201102001² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10010201102009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32021350 + ... + 32332448.

It is an arithmetic number, because the mean of its divisors is an integer number (487835910000).

Almost surely, 2^{10010201102001} is an apocalyptic number.

It is an amenable number.

10010201102001 is a deficient number, since it is larger than the sum of its proper divisors (5600548017999).

10010201102001 is a wasteful number, since it uses less digits than its factorization.

10010201102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373850 (or 373844 counting only the distinct ones).

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

Adding to 10010201102001 its reverse (10020110201001), we get a palindrome (20030311303002).

The spelling of 10010201102001 in words is "ten trillion, ten billion, two hundred one million, one hundred two thousand, one".