10121102100000 has 432 divisors, whose sum is σ = 36947472851016. Its totient is φ = 2626007040000.

The previous prime is 10121102099989. The next prime is 10121102100007. The reversal of 10121102100000 is 120112101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1278591039504 + 8842511060496 = 1130748^2 + 2973636^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10121102100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33148032 + ... + 33451968.

Almost surely, 2^{10121102100000} is an apocalyptic number.

10121102100000 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 10121102100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18473736425508).

10121102100000 is an abundant number, since it is smaller than the sum of its proper divisors (26826370751016).

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

10121102100000 is an equidigital number, since it uses as much as digits as its factorization.

10121102100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304015 (or 303984 counting only the distinct ones).

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

Adding to 10121102100000 its reverse (120112101), we get a palindrome (10121222212101).

The spelling of 10121102100000 in words is "ten trillion, one hundred twenty-one billion, one hundred two million, one hundred thousand".