102034103020 has 144 divisors (see below), whose sum is σ = 237291479712. Its totient is φ = 36811653120.

The previous prime is 102034103011. The next prime is 102034103023. The reversal of 102034103020 is 20301430201.

It is a happy number.

It is a super-3 number, since 3×102034103020³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102034102985 and 102034103003.

It is not an unprimeable number, because it can be changed into a prime (102034103023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14325060 + ... + 14332180.

It is an arithmetic number, because the mean of its divisors is an integer number (1647857498).

Almost surely, 2^102034103020 is an apocalyptic number.

102034103020 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 102034103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118645739856).

102034103020 is an abundant number, since it is smaller than the sum of its proper divisors (135257376692).

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

102034103020 is a wasteful number, since it uses less digits than its factorization.

102034103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7268 (or 7249 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102034103020 its reverse (20301430201), we get a palindrome (122335533221).

The spelling of 102034103020 in words is "one hundred two billion, thirty-four million, one hundred three thousand, twenty".