101110201110100 has 576 divisors, whose sum is σ = 280426495555584. Its totient is φ = 30792960000000.

The previous prime is 101110201110089. The next prime is 101110201110157. The reversal of 101110201110100 is 1011102011101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10212115150 + ... + 10212125050.

It is an arithmetic number, because the mean of its divisors is an integer number (486851554784).

Almost surely, 2^{101110201110100} is an apocalyptic number.

101110201110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101110201110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140213247777792).

101110201110100 is an abundant number, since it is smaller than the sum of its proper divisors (179316294445484).

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

101110201110100 is a wasteful number, since it uses less digits than its factorization.

101110201110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10348 (or 10341 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101110201110100 its reverse (1011102011101), we get a palindrome (102121303121201).

101110201110100 divided by its reverse (1011102011101) gives a square (100 = 10²).

The spelling of 101110201110100 in words is "one hundred one trillion, one hundred ten billion, two hundred one million, one hundred ten thousand, one hundred".