10121112100000 has 288 divisors, whose sum is σ = 27801986933952. Its totient is φ = 3594796800000.

The previous prime is 10121112099977. The next prime is 10121112100031. The reversal of 10121112100000 is 121112101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10121112100000.

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, 47193012 + ... + 47406988.

It is an arithmetic number, because the mean of its divisors is an integer number (96534676854).

Almost surely, 2^{10121112100000} is an apocalyptic number.

10121112100000 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 10121112100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13900993466976).

10121112100000 is an abundant number, since it is smaller than the sum of its proper divisors (17680874833952).

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

10121112100000 is an equidigital number, since it uses as much as digits as its factorization.

10121112100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214066 (or 214038 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10121112100000 its reverse (121112101), we get a palindrome (10121233212101).

The spelling of 10121112100000 in words is "ten trillion, one hundred twenty-one billion, one hundred twelve million, one hundred thousand".