10211010100 has 18 divisors (see below), whose sum is σ = 22157892134. Its totient is φ = 4084404000.

The previous prime is 10211010097. The next prime is 10211010137. The reversal of 10211010100 is 101011201.

It can be written as a sum of positive squares in 3 ways, for example, as 648517156 + 9562492944 = 25466^2 + 97788^2 .

It is a super-3 number, since 3×10211010100³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51054951 + ... + 51055150.

Almost surely, 2^10211010100 is an apocalyptic number.

10211010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211010100 is an abundant number, since it is smaller than the sum of its proper divisors (11946882034).

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

10211010100 is a wasteful number, since it uses less digits than its factorization.

10211010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102110115 (or 102110108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10211010100 its reverse (101011201), we get a palindrome (10312021301).

The spelling of 10211010100 in words is "ten billion, two hundred eleven million, ten thousand, one hundred".