10210122102100 has 36 divisors (see below), whose sum is σ = 22234811873148. Its totient is φ = 4069514848000.

The previous prime is 10210122102031. The next prime is 10210122102127. The reversal of 10210122102100 is 120122101201.

10210122102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 253901100996 + 9956221001104 = 503886^2 + 3155348^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181646671 + ... + 181702870.

It is an arithmetic number, because the mean of its divisors is an integer number (617633663143).

Almost surely, 2^{10210122102100} is an apocalyptic number.

10210122102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210122102100 is an abundant number, since it is smaller than the sum of its proper divisors (12024689771048).

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

10210122102100 is a wasteful number, since it uses less digits than its factorization.

10210122102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363349836 (or 363349829 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10210122102100 its reverse (120122101201), we get a palindrome (10330244203301).

The spelling of 10210122102100 in words is "ten trillion, two hundred ten billion, one hundred twenty-two million, one hundred two thousand, one hundred".