10020101110100 has 18 divisors (see below), whose sum is σ = 21743619409134. Its totient is φ = 4008040444000.

The previous prime is 10020101110099. The next prime is 10020101110177. The reversal of 10020101110100 is 101110102001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1152784447684 + 8867316662416 = 1073678^2 + 2977804^2 .

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, 50100505451 + ... + 50100505650.

It is an arithmetic number, because the mean of its divisors is an integer number (1207978856063).

Almost surely, 2^{10020101110100} is an apocalyptic number.

10020101110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020101110100 is an abundant number, since it is smaller than the sum of its proper divisors (11723518299034).

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

10020101110100 is a wasteful number, since it uses less digits than its factorization.

10020101110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100201011115 (or 100201011108 counting only the distinct ones).

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

Adding to 10020101110100 its reverse (101110102001), we get a palindrome (10121211212101).

The spelling of 10020101110100 in words is "ten trillion, twenty billion, one hundred one million, one hundred ten thousand, one hundred".