10210101110000 has 400 divisors, whose sum is σ = 27401974161408. Its totient is φ = 3653328000000.

The previous prime is 10210101109969. The next prime is 10210101110009. The reversal of 10210101110000 is 1110101201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10210101110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210101110009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1855367249 + ... + 1855372751.

Almost surely, 2^{10210101110000} is an apocalyptic number.

10210101110000 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 10210101110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13700987080704).

10210101110000 is an abundant number, since it is smaller than the sum of its proper divisors (17191873051408).

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

10210101110000 is a wasteful number, since it uses less digits than its factorization.

10210101110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5810 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10210101110000 its reverse (1110101201), we get a palindrome (10211211211201).

The spelling of 10210101110000 in words is "ten trillion, two hundred ten billion, one hundred one million, one hundred ten thousand".