10200100120001 has 8 divisors (see below), whose sum is σ = 11127420109344. Its totient is φ = 9272786490720.

The previous prime is 10200100119983. The next prime is 10200100120019. The reversal of 10200100120001 is 10002100100201.

It is an interprime number because it is at equal distance from previous prime (10200100119983) and next prime (10200100120019).

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10200100120001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10200100120501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2144765 + ... + 5000021.

It is an arithmetic number, because the mean of its divisors is an integer number (1390927513668).

Almost surely, 2^{10200100120001} is an apocalyptic number.

10200100120001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10200100120001 is a deficient number, since it is larger than the sum of its proper divisors (927319989343).

10200100120001 is a wasteful number, since it uses less digits than its factorization.

10200100120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180031.

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

Adding to 10200100120001 its reverse (10002100100201), we get a palindrome (20202200220202).

The spelling of 10200100120001 in words is "ten trillion, two hundred billion, one hundred million, one hundred twenty thousand, one".