10100010002001 has 8 divisors (see below), whose sum is σ = 13467661522464. Its totient is φ = 6732849241440.

The previous prime is 10100010001933. The next prime is 10100010002003. The reversal of 10100010002001 is 10020001000101.

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

It is not a de Polignac number, because 10100010002001 - 2⁴³ = 1303916979793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100010002003) 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, 122641951 + ... + 122724276.

It is an arithmetic number, because the mean of its divisors is an integer number (1683457690308).

Almost surely, 2^{10100010002001} is an apocalyptic number.

It is an amenable number.

10100010002001 is a deficient number, since it is larger than the sum of its proper divisors (3367651520463).

10100010002001 is a wasteful number, since it uses less digits than its factorization.

10100010002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245379951.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10100010002001 its reverse (10020001000101), we get a palindrome (20120011002102).

The spelling of 10100010002001 in words is "ten trillion, one hundred billion, ten million, two thousand, one".