4202123100 has 144 divisors (see below), whose sum is σ = 13916275968. Its totient is φ = 959016960.

The previous prime is 4202123089. The next prime is 4202123111. The reversal of 4202123100 is 13212024.

It is an interprime number because it is at equal distance from previous prime (4202123089) and next prime (4202123111).

It is a super-2 number, since 2×4202123100² = 35315677095107220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4202123100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1987644 + ... + 1989756.

Almost surely, 2^4202123100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958137984).

4202123100 is an abundant number, since it is smaller than the sum of its proper divisors (9714152868).

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

4202123100 is a wasteful number, since it uses less digits than its factorization.

4202123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4202123100 is about 64823.7849866852. The cubic root of 4202123100 is about 1613.7004629554.

Adding to 4202123100 its reverse (13212024), we get a palindrome (4215335124).

The spelling of 4202123100 in words is "four billion, two hundred two million, one hundred twenty-three thousand, one hundred".