20101102110100 has 144 divisors (see below), whose sum is σ = 48381800241600. Its totient is φ = 7187147136000.

The previous prime is 20101102110091. The next prime is 20101102110101. The reversal of 20101102110100 is 101120110102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101102110101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197155936 + ... + 197257864.

It is an arithmetic number, because the mean of its divisors is an integer number (335984723900).

Almost surely, 2^{20101102110100} is an apocalyptic number.

20101102110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101102110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24190900120800).

20101102110100 is an abundant number, since it is smaller than the sum of its proper divisors (28280698131500).

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

20101102110100 is a wasteful number, since it uses less digits than its factorization.

20101102110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104954 (or 104947 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20101102110100 its reverse (101120110102), we get a palindrome (20202222220202).

It can be divided in two parts, 20101102 and 110100, that added together give a palindrome (20211202).

The spelling of 20101102110100 in words is "twenty trillion, one hundred one billion, one hundred two million, one hundred ten thousand, one hundred".