102120000030100 has 144 divisors (see below), whose sum is σ = 253623981870000. Its totient is φ = 35355928043520.

The previous prime is 102120000030077. The next prime is 102120000030143. The reversal of 102120000030100 is 1030000021201.

It can be written as a sum of positive squares in 24 ways, for example, as 63976258202256 + 38143741827844 = 7998516^2 + 6176062^2 .

It is a super-2 number, since 2×102120000030100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2643975 + ... + 14533774.

It is an arithmetic number, because the mean of its divisors is an integer number (1761277651875).

Almost surely, 2^{102120000030100} is an apocalyptic number.

102120000030100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120000030100 is an abundant number, since it is smaller than the sum of its proper divisors (151503981839900).

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

102120000030100 is a wasteful number, since it uses less digits than its factorization.

102120000030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17178062 (or 17178055 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 102120000030100 its reverse (1030000021201), we get a palindrome (103150000051301).

The spelling of 102120000030100 in words is "one hundred two trillion, one hundred twenty billion, thirty thousand, one hundred".