10226142100 has 72 divisors (see below), whose sum is σ = 22785291648. Its totient is φ = 3981331200.

The previous prime is 10226142089. The next prime is 10226142109. The reversal of 10226142100 is 124162201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10226142109) 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, 1895607 + ... + 1900993.

It is an arithmetic number, because the mean of its divisors is an integer number (316462384).

Almost surely, 2^10226142100 is an apocalyptic number.

10226142100 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 10226142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11392645824).

10226142100 is an abundant number, since it is smaller than the sum of its proper divisors (12559149548).

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

10226142100 is a wasteful number, since it uses less digits than its factorization.

10226142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The spelling of 10226142100 in words is "ten billion, two hundred twenty-six million, one hundred forty-two thousand, one hundred".