102003012020 has 144 divisors (see below), whose sum is σ = 278246360448. Its totient is φ = 30583008000.

The previous prime is 102003011969. The next prime is 102003012037. The reversal of 102003012020 is 20210300201.

It is a happy number.

It is a super-3 number, since 3×102003012020³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102003011992 and 102003012010.

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, 579395 + ... + 734645.

It is an arithmetic number, because the mean of its divisors is an integer number (1932266392).

Almost surely, 2^102003012020 is an apocalyptic number.

102003012020 is a gapful number since it is divisible by the number (10) 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 102003012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139123180224).

102003012020 is an abundant number, since it is smaller than the sum of its proper divisors (176243348428).

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

102003012020 is a wasteful number, since it uses less digits than its factorization.

102003012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155318 (or 155297 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 102003012020 its reverse (20210300201), we get a palindrome (122213312221).

The spelling of 102003012020 in words is "one hundred two billion, three million, twelve thousand, twenty".