10101120101110 has 64 divisors (see below), whose sum is σ = 18479534145984. Its totient is φ = 3974857920000.

The previous prime is 10101120101081. The next prime is 10101120101131. The reversal of 10101120101110 is 1110102110101.

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 31 ways as a sum of consecutive naturals, for example, 1020207160 + ... + 1020217060.

It is an arithmetic number, because the mean of its divisors is an integer number (288742721031).

Almost surely, 2^{10101120101110} is an apocalyptic number.

10101120101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10101120101110 is a deficient number, since it is larger than the sum of its proper divisors (8378414044874).

10101120101110 is a wasteful number, since it uses less digits than its factorization.

10101120101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16369.

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

Adding to 10101120101110 its reverse (1110102110101), we get a palindrome (11211222211211).

The spelling of 10101120101110 in words is "ten trillion, one hundred one billion, one hundred twenty million, one hundred one thousand, one hundred ten".