102000020123100 has 72 divisors (see below), whose sum is σ = 321949154435328. Its totient is φ = 24727277604800.

The previous prime is 102000020123077. The next prime is 102000020123101. The reversal of 102000020123100 is 1321020000201.

It is a super-3 number, since 3×102000020123100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000020123101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15454545204 + ... + 15454551803.

It is an arithmetic number, because the mean of its divisors is an integer number (4471516033824).

Almost surely, 2^{102000020123100} is an apocalyptic number.

102000020123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000020123100 is an abundant number, since it is smaller than the sum of its proper divisors (219949134312228).

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

102000020123100 is a wasteful number, since it uses less digits than its factorization.

102000020123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30909097035 (or 30909097028 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102000020123100 its reverse (1321020000201), we get a palindrome (103321040123301).

The spelling of 102000020123100 in words is "one hundred two trillion, twenty million, one hundred twenty-three thousand, one hundred".