10102101012001 has 4 divisors (see below), whose sum is σ = 10102171746352. Its totient is φ = 10102030277652.

The previous prime is 10102101011957. The next prime is 10102101012043. The reversal of 10102101012001 is 10021010120101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10102101012001 - 2¹³ = 10102101003809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102101013001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35152515 + ... + 35438728.

It is an arithmetic number, because the mean of its divisors is an integer number (2525542936588).

Almost surely, 2^{10102101012001} is an apocalyptic number.

It is an amenable number.

10102101012001 is a deficient number, since it is larger than the sum of its proper divisors (70734351).

10102101012001 is an equidigital number, since it uses as much as digits as its factorization.

10102101012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70734350.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10102101012001 its reverse (10021010120101), we get a palindrome (20123111132102).

The spelling of 10102101012001 in words is "ten trillion, one hundred two billion, one hundred one million, twelve thousand, one".