10101200000 has 96 divisors (see below), whose sum is σ = 25153741620. Its totient is φ = 4040320000.

The previous prime is 10101199973. The next prime is 10101200017. The reversal of 10101200000 is 210101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 48330304 + 10052869696 = 6952^2 + 100264^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 387374 + ... + 412626.

Almost surely, 2^10101200000 is an apocalyptic number.

10101200000 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 10101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12576870810).

10101200000 is an abundant number, since it is smaller than the sum of its proper divisors (15052541620).

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

10101200000 is an frugal number, since it uses more digits than its factorization.

10101200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25292 (or 25260 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10101200000 its reverse (210101), we get a palindrome (10101410101).

The spelling of 10101200000 in words is "ten billion, one hundred one million, two hundred thousand".