10102120200001 has 16 divisors (see below), whose sum is σ = 10349203233600. Its totient is φ = 9855595713600.

The previous prime is 10102120199981. The next prime is 10102120200023. The reversal of 10102120200001 is 10000202120101.

It is a cyclic number.

It is not a de Polignac number, because 10102120200001 - 2⁹ = 10102120199489 is a prime.

It is a super-4 number, since 4×10102120200001⁴ (a number of 53 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102120200091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142563286 + ... + 142634128.

It is an arithmetic number, because the mean of its divisors is an integer number (646825202100).

Almost surely, 2^{10102120200001} is an apocalyptic number.

It is an amenable number.

10102120200001 is a deficient number, since it is larger than the sum of its proper divisors (247083033599).

10102120200001 is a wasteful number, since it uses less digits than its factorization.

10102120200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74736.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10102120200001 its reverse (10000202120101), we get a palindrome (20102322320102).

The spelling of 10102120200001 in words is "ten trillion, one hundred two billion, one hundred twenty million, two hundred thousand, one".