10200121100 has 144 divisors (see below), whose sum is σ = 24365732160. Its totient is φ = 3683404800.

The previous prime is 10200121073. The next prime is 10200121133. The reversal of 10200121100 is 112100201.

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, 23234681 + ... + 23235119.

Almost surely, 2^10200121100 is an apocalyptic number.

10200121100 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 10200121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12182866080).

10200121100 is an abundant number, since it is smaller than the sum of its proper divisors (14165611060).

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

10200121100 is a wasteful number, since it uses less digits than its factorization.

10200121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10200121100 its reverse (112100201), we get a palindrome (10312221301).

The spelling of 10200121100 in words is "ten billion, two hundred million, one hundred twenty-one thousand, one hundred".