10101223312000 has 256 divisors, whose sum is σ = 25395131923200. Its totient is φ = 3995389440000.

The previous prime is 10101223311973. The next prime is 10101223312001. The reversal of 10101223312000 is 21332210101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10101223312001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1426924461 + ... + 1426931539.

It is an arithmetic number, because the mean of its divisors is an integer number (99199734075).

Almost surely, 2^{10101223312000} is an apocalyptic number.

10101223312000 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 10101223312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12697565961600).

10101223312000 is an abundant number, since it is smaller than the sum of its proper divisors (15293908611200).

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

10101223312000 is an equidigital number, since it uses as much as digits as its factorization.

10101223312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8092 (or 8070 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10101223312000 its reverse (21332210101), we get a palindrome (10122555522101).

The spelling of 10101223312000 in words is "ten trillion, one hundred one billion, two hundred twenty-three million, three hundred twelve thousand".