102400202124 has 72 divisors (see below), whose sum is σ = 283620512448. Its totient is φ = 30893639520.

The previous prime is 102400202089. The next prime is 102400202143. The reversal of 102400202124 is 421202004201.

It is a super-3 number, since 3×102400202124³ (a number of 34 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 102400202097 and 102400202106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479682 + ... + 659465.

It is an arithmetic number, because the mean of its divisors is an integer number (3939173784).

Almost surely, 2^102400202124 is an apocalyptic number.

It is an amenable number.

102400202124 is an abundant number, since it is smaller than the sum of its proper divisors (181220310324).

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

102400202124 is a wasteful number, since it uses less digits than its factorization.

102400202124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139395 (or 1139390 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102400202124 its reverse (421202004201), we get a palindrome (523602206325).

The spelling of 102400202124 in words is "one hundred two billion, four hundred million, two hundred two thousand, one hundred twenty-four".