10100210100110 has 128 divisors (see below), whose sum is σ = 20583037440000. Its totient is φ = 3540506112000.

The previous prime is 10100210100077. The next prime is 10100210100121. The reversal of 10100210100110 is 1100101200101.

It is a happy number.

It is a super-3 number, since 3×10100210100110³ (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 563902055 + ... + 563919965.

It is an arithmetic number, because the mean of its divisors is an integer number (160804980000).

Almost surely, 2^{10100210100110} is an apocalyptic number.

10100210100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100210100110 is an abundant number, since it is smaller than the sum of its proper divisors (10482827339890).

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

10100210100110 is a wasteful number, since it uses less digits than its factorization.

10100210100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19354.

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

Adding to 10100210100110 its reverse (1100101200101), we get a palindrome (11200311300211).

The spelling of 10100210100110 in words is "ten trillion, one hundred billion, two hundred ten million, one hundred thousand, one hundred ten".