101010001090110 has 256 divisors, whose sum is σ = 283704802504704. Its totient is φ = 22541305577472.

The previous prime is 101010001090091. The next prime is 101010001090111. The reversal of 101010001090110 is 11090100010101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101010001090110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010001090111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 741306007 + ... + 741442253.

It is an arithmetic number, because the mean of its divisors is an integer number (1108221884784).

Almost surely, 2^{101010001090110} is an apocalyptic number.

101010001090110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010001090110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141852401252352).

101010001090110 is an abundant number, since it is smaller than the sum of its proper divisors (182694801414594).

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

101010001090110 is a wasteful number, since it uses less digits than its factorization.

101010001090110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136827.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 101010001090110 in words is "one hundred one trillion, ten billion, one million, ninety thousand, one hundred ten".