10002120100 has 144 divisors (see below), whose sum is σ = 25481008000. Its totient is φ = 3406354560.

The previous prime is 10002120083. The next prime is 10002120113. The reversal of 10002120100 is 102120001.

It is a Harshad number since it is a multiple of its sum of digits (7).

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, 5590006 + ... + 5591794.

Almost surely, 2^10002120100 is an apocalyptic number.

10002120100 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 10002120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12740504000).

10002120100 is an abundant number, since it is smaller than the sum of its proper divisors (15478887900).

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

10002120100 is a wasteful number, since it uses less digits than its factorization.

10002120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10002120100 its reverse (102120001), we get a palindrome (10104240101).

Subtracting from 10002120100 its reverse (102120001), we obtain a palindrome (9900000099).

The spelling of 10002120100 in words is "ten billion, two million, one hundred twenty thousand, one hundred".