10211010112000 has 320 divisors, whose sum is σ = 26280466692480. Its totient is φ = 3955150848000.

The previous prime is 10211010111923. The next prime is 10211010112007. The reversal of 10211010112000 is 21101011201.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (10211010112007) 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, 252971820 + ... + 253012180.

It is an arithmetic number, because the mean of its divisors is an integer number (82126458414).

Almost surely, 2^{10211010112000} is an apocalyptic number.

10211010112000 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 10211010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13140233346240).

10211010112000 is an abundant number, since it is smaller than the sum of its proper divisors (16069456580480).

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

10211010112000 is an frugal number, since it uses more digits than its factorization.

10211010112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40520 (or 40494 counting only the distinct ones).

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

Adding to 10211010112000 its reverse (21101011201), we get a palindrome (10232111123201).

The spelling of 10211010112000 in words is "ten trillion, two hundred eleven billion, ten million, one hundred twelve thousand".