10210101121100 has 72 divisors (see below), whose sum is σ = 22316961466800. Its totient is φ = 4054359628800.

The previous prime is 10210101121043. The next prime is 10210101121141. The reversal of 10210101121100 is 112110101201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371519360 + ... + 371546840.

It is an arithmetic number, because the mean of its divisors is an integer number (309957798150).

Almost surely, 2^{10210101121100} is an apocalyptic number.

10210101121100 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 10210101121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11158480733400).

10210101121100 is an abundant number, since it is smaller than the sum of its proper divisors (12106860345700).

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

10210101121100 is a wasteful number, since it uses less digits than its factorization.

10210101121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54363 (or 54356 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10210101121100 its reverse (112110101201), we get a palindrome (10322211222301).

The spelling of 10210101121100 in words is "ten trillion, two hundred ten billion, one hundred one million, one hundred twenty-one thousand, one hundred".