10202134100 has 72 divisors (see below), whose sum is σ = 23227846656. Its totient is φ = 3884400000.

The previous prime is 10202134091. The next prime is 10202134109. The reversal of 10202134100 is 143120201.

It is an interprime number because it is at equal distance from previous prime (10202134091) and next prime (10202134109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202134109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162125 + ... + 216075.

Almost surely, 2^10202134100 is an apocalyptic number.

10202134100 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 10202134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11613923328).

10202134100 is an abundant number, since it is smaller than the sum of its proper divisors (13025712556).

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

10202134100 is a wasteful number, since it uses less digits than its factorization.

10202134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54057 (or 54050 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10202134100 its reverse (143120201), we get a palindrome (10345254301).

The spelling of 10202134100 in words is "ten billion, two hundred two million, one hundred thirty-four thousand, one hundred".