20101020100110 has 128 divisors (see below), whose sum is σ = 53699635566720. Its totient is φ = 5350584729600.

The previous prime is 20101020100067. The next prime is 20101020100127. The reversal of 20101020100110 is 1100102010102.

It is a happy number.

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 = 20101020100092 and 20101020100101.

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, 841281324 + ... + 841305216.

It is an arithmetic number, because the mean of its divisors is an integer number (419528402865).

Almost surely, 2^{20101020100110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101020100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26849817783360).

20101020100110 is an abundant number, since it is smaller than the sum of its proper divisors (33598615466610).

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

20101020100110 is a wasteful number, since it uses less digits than its factorization.

20101020100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29411 (or 29405 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20101020100110 its reverse (1100102010102), we get a palindrome (21201122110212).

The spelling of 20101020100110 in words is "twenty trillion, one hundred one billion, twenty million, one hundred thousand, one hundred ten".