10200102101 has 16 divisors (see below), whose sum is σ = 12521232000. Its totient is φ = 8282784384.

The previous prime is 10200102097. The next prime is 10200102109. The reversal of 10200102101 is 10120100201.

It is not a de Polignac number, because 10200102101 - 2² = 10200102097 is a prime.

It is a super-2 number, since 2×10200102101² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200102109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 776060 + ... + 789093.

It is an arithmetic number, because the mean of its divisors is an integer number (782577000).

Almost surely, 2^10200102101 is an apocalyptic number.

It is an amenable number.

10200102101 is a deficient number, since it is larger than the sum of its proper divisors (2321129899).

10200102101 is an equidigital number, since it uses as much as digits as its factorization.

10200102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565193 (or 1565179 counting only the distinct ones).

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

Adding to 10200102101 its reverse (10120100201), we get a palindrome (20320202302).

The spelling of 10200102101 in words is "ten billion, two hundred million, one hundred two thousand, one hundred one".