10121101200 has 240 divisors, whose sum is σ = 41170162560. Its totient is φ = 2313377280.

The previous prime is 10121101157. The next prime is 10121101219. The reversal of 10121101200 is 210112101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 8662 + ... + 142538.

It is an arithmetic number, because the mean of its divisors is an integer number (171542344).

Almost surely, 2^10121101200 is an apocalyptic number.

10121101200 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 10121101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20585081280).

10121101200 is an abundant number, since it is smaller than the sum of its proper divisors (31049061360).

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

10121101200 is a wasteful number, since it uses less digits than its factorization.

10121101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133911 (or 133894 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10121101200 its reverse (210112101), we get a palindrome (10331213301).

The spelling of 10121101200 in words is "ten billion, one hundred twenty-one million, one hundred one thousand, two hundred".