102426135020 has 192 divisors, whose sum is σ = 246941291520. Its totient is φ = 35359027200.

The previous prime is 102426135013. The next prime is 102426135041. The reversal of 102426135020 is 20531624201.

It is a happy number.

102426135020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102426135020² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49030136 + ... + 49032224.

It is an arithmetic number, because the mean of its divisors is an integer number (1286152560).

Almost surely, 2^102426135020 is an apocalyptic number.

102426135020 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 102426135020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123470645760).

102426135020 is an abundant number, since it is smaller than the sum of its proper divisors (144515156500).

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

102426135020 is a wasteful number, since it uses less digits than its factorization.

102426135020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 102426135020 its reverse (20531624201), we get a palindrome (122957759221).

The spelling of 102426135020 in words is "one hundred two billion, four hundred twenty-six million, one hundred thirty-five thousand, twenty".