101211200110100 has 18 divisors (see below), whose sum is σ = 219628304239134. Its totient is φ = 40484480044000.

The previous prime is 101211200110039. The next prime is 101211200110121. The reversal of 101211200110100 is 1011002112101.

It can be written as a sum of positive squares in 3 ways, for example, as 17747700691204 + 83463499418896 = 4212802^2 + 9135836^2 .

It is a super-3 number, since 3×101211200110100³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506056000451 + ... + 506056000650.

Almost surely, 2^{101211200110100} is an apocalyptic number.

101211200110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211200110100 is an abundant number, since it is smaller than the sum of its proper divisors (118417104129034).

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

101211200110100 is a wasteful number, since it uses less digits than its factorization.

101211200110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012112001115 (or 1012112001108 counting only the distinct ones).

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

Adding to 101211200110100 its reverse (1011002112101), we get a palindrome (102222202222201).

The spelling of 101211200110100 in words is "one hundred one trillion, two hundred eleven billion, two hundred million, one hundred ten thousand, one hundred".