10102134420 has 288 divisors, whose sum is σ = 36130069248. Its totient is φ = 2236502016.

The previous prime is 10102134409. The next prime is 10102134467. The reversal of 10102134420 is 2443120101.

10102134420 is a `hidden beast` number, since 1 + 0 + 10 + 213 + 442 + 0 = 666.

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 = 10102134393 and 10102134402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15710619 + ... + 15711261.

Almost surely, 2^10102134420 is an apocalyptic number.

10102134420 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 10102134420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18065034624).

10102134420 is an abundant number, since it is smaller than the sum of its proper divisors (26027934828).

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

10102134420 is a wasteful number, since it uses less digits than its factorization.

10102134420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10102134420 its reverse (2443120101), we get a palindrome (12545254521).

The spelling of 10102134420 in words is "ten billion, one hundred two million, one hundred thirty-four thousand, four hundred twenty".