10101011122100 has 18 divisors (see below), whose sum is σ = 21919194135174. Its totient is φ = 4040404448800.

The previous prime is 10101011122087. The next prime is 10101011122109. The reversal of 10101011122100 is 122111010101.

It can be written as a sum of positive squares in 3 ways, for example, as 3249244184356 + 6851766937744 = 1802566^2 + 2617588^2 .

It is a super-2 number, since 2×10101011122100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101011122109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50505055511 + ... + 50505055710.

Almost surely, 2^{10101011122100} is an apocalyptic number.

10101011122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101011122100 is an abundant number, since it is smaller than the sum of its proper divisors (11818183013074).

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

10101011122100 is a wasteful number, since it uses less digits than its factorization.

10101011122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101010111235 (or 101010111228 counting only the distinct ones).

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

Adding to 10101011122100 its reverse (122111010101), we get a palindrome (10223122132201).

The spelling of 10101011122100 in words is "ten trillion, one hundred one billion, eleven million, one hundred twenty-two thousand, one hundred".