10210111210000 has 200 divisors, whose sum is σ = 26884826620344. Its totient is φ = 3732556800000.

The previous prime is 10210111209973. The next prime is 10210111210001. The reversal of 10210111210000 is 1211101201.

It can be written as a sum of positive squares in 20 ways, for example, as 9903961467136 + 306149742864 = 3147056^2 + 553308^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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 (10210111210001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12741192 + ... + 13518808.

Almost surely, 2^{10210111210000} is an apocalyptic number.

10210111210000 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 10210111210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13442413310172).

10210111210000 is an abundant number, since it is smaller than the sum of its proper divisors (16674715410344).

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

10210111210000 is a wasteful number, since it uses less digits than its factorization.

10210111210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777759 (or 777738 counting only the distinct ones).

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

Adding to 10210111210000 its reverse (1211101201), we get a palindrome (10211322311201).

The spelling of 10210111210000 in words is "ten trillion, two hundred ten billion, one hundred eleven million, two hundred ten thousand".