10100201110110 has 48 divisors (see below), whose sum is σ = 26260890501456. Its totient is φ = 2693349258624.

The previous prime is 10100201110091. The next prime is 10100201110133. The reversal of 10100201110110 is 1101110200101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100201110092 and 10100201110101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6003537 + ... + 7499523.

It is an arithmetic number, because the mean of its divisors is an integer number (547101885447).

Almost surely, 2^{10100201110110} is an apocalyptic number.

10100201110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100201110110 is an abundant number, since it is smaller than the sum of its proper divisors (16160689391346).

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

10100201110110 is a wasteful number, since it uses less digits than its factorization.

10100201110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571017 (or 1571014 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10100201110110 its reverse (1101110200101), we get a palindrome (11201311310211).

The spelling of 10100201110110 in words is "ten trillion, one hundred billion, two hundred one million, one hundred ten thousand, one hundred ten".