10102000020101 has 8 divisors (see below), whose sum is σ = 11184846698784. Its totient is φ = 9046567181520.

The previous prime is 10102000020089. The next prime is 10102000020107.

10102000020101 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 10102000020101 - 2⁶ = 10102000020037 is a prime.

It is a super-2 number, since 2×10102000020101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102000020107) 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, 6853459250 + ... + 6853460723.

It is an arithmetic number, because the mean of its divisors is an integer number (1398105837348).

Almost surely, 2^{10102000020101} is an apocalyptic number.

10102000020101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102000020101 is a deficient number, since it is larger than the sum of its proper divisors (1082846678683).

10102000020101 is a wasteful number, since it uses less digits than its factorization.

10102000020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13706920051.

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

It can be divided in two parts, 101020000 and 20101, that added together give a palindrome (101040101).

The spelling of 10102000020101 in words is "ten trillion, one hundred two billion, twenty thousand, one hundred one".