10210101222100 has 72 divisors (see below), whose sum is σ = 23936452856120. Its totient is φ = 3757839022080.

The previous prime is 10210101222091. The next prime is 10210101222121. The reversal of 10210101222100 is 122210101201.

10210101222100 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 12 ways, for example, as 8868317232784 + 1341783989316 = 2977972^2 + 1158354^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12139305 + ... + 12953104.

Almost surely, 2^{10210101222100} is an apocalyptic number.

10210101222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210101222100 is an abundant number, since it is smaller than the sum of its proper divisors (13726351634020).

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

10210101222100 is a wasteful number, since it uses less digits than its factorization.

10210101222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25092749 (or 25092742 counting only the distinct ones).

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

Adding to 10210101222100 its reverse (122210101201), we get a palindrome (10332311323301).

The spelling of 10210101222100 in words is "ten trillion, two hundred ten billion, one hundred one million, two hundred twenty-two thousand, one hundred".