10102129300 has 36 divisors (see below), whose sum is σ = 23211131580. Its totient is φ = 3803153920.

The previous prime is 10102129291. The next prime is 10102129313. The reversal of 10102129300 is 392120101.

It can be written as a sum of positive squares in 6 ways, for example, as 545502736 + 9556626564 = 23356^2 + 97758^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2969515 + ... + 2972914.

It is an arithmetic number, because the mean of its divisors is an integer number (644753655).

Almost surely, 2^10102129300 is an apocalyptic number.

10102129300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102129300 is an abundant number, since it is smaller than the sum of its proper divisors (13109002280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10102129300 is a wasteful number, since it uses less digits than its factorization.

10102129300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5942460 (or 5942453 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10102129300 its reverse (392120101), we get a palindrome (10494249401).

It can be divided in two parts, 101021 and 29300, that added together give a 4-th power (130321 = 19⁴).

The spelling of 10102129300 in words is "ten billion, one hundred two million, one hundred twenty-nine thousand, three hundred".