102400121124 has 144 divisors (see below), whose sum is σ = 297341815680. Its totient is φ = 29107307520.

The previous prime is 102400121113. The next prime is 102400121167. The reversal of 102400121124 is 421121004201.

102400121124 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102400121097 and 102400121106.

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, 75238204 + ... + 75239564.

It is an arithmetic number, because the mean of its divisors is an integer number (2064873720).

Almost surely, 2^102400121124 is an apocalyptic number.

102400121124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102400121124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148670907840).

102400121124 is an abundant number, since it is smaller than the sum of its proper divisors (194941694556).

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

102400121124 is a wasteful number, since it uses less digits than its factorization.

102400121124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102400121124 its reverse (421121004201), we get a palindrome (523521125325).

The spelling of 102400121124 in words is "one hundred two billion, four hundred million, one hundred twenty-one thousand, one hundred twenty-four".