101110100200010 has 192 divisors, whose sum is σ = 207680174456832. Its totient is φ = 35389868976000.

The previous prime is 101110100200003. The next prime is 101110100200027. The reversal of 101110100200010 is 10002001011101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10000004855 + ... + 10000014965.

It is an arithmetic number, because the mean of its divisors is an integer number (1081667575296).

Almost surely, 2^{101110100200010} is an apocalyptic number.

101110100200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101110100200010 is an abundant number, since it is smaller than the sum of its proper divisors (106570074256822).

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

101110100200010 is a wasteful number, since it uses less digits than its factorization.

101110100200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12961 (or 12950 counting only the distinct ones).

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

Adding to 101110100200010 its reverse (10002001011101), we get a palindrome (111112101211111).

The spelling of 101110100200010 in words is "one hundred one trillion, one hundred ten billion, one hundred million, two hundred thousand, ten".