10101010102100 has 36 divisors (see below), whose sum is σ = 21920322689244. Its totient is φ = 4040195604480.

The previous prime is 10101010101983. The next prime is 10101010102121. The reversal of 10101010102100 is 120101010101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1413407121424 + 8687602980676 = 1188868^2 + 2947474^2 .

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, 650027 + ... + 4541426.

It is an arithmetic number, because the mean of its divisors is an integer number (608897852479).

Almost surely, 2^{10101010102100} is an apocalyptic number.

10101010102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101010102100 is an abundant number, since it is smaller than the sum of its proper divisors (11819312587144).

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

10101010102100 is a wasteful number, since it uses less digits than its factorization.

10101010102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210924 (or 5210917 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10101010102100 its reverse (120101010101), we get a palindrome (10221111112201).

The spelling of 10101010102100 in words is "ten trillion, one hundred one billion, ten million, one hundred two thousand, one hundred".