10101102111100 has 288 divisors, whose sum is σ = 30445076390400. Its totient is φ = 2805996211200.

The previous prime is 10101102111059. The next prime is 10101102111119. The reversal of 10101102111100 is 111120110101.

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 95 ways as a sum of consecutive naturals, for example, 1163071 + ... + 4642729.

It is an arithmetic number, because the mean of its divisors is an integer number (105712070800).

Almost surely, 2^{10101102111100} is an apocalyptic number.

10101102111100 is a gapful number since it is divisible by the number (10) 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 10101102111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222538195200).

10101102111100 is an abundant number, since it is smaller than the sum of its proper divisors (20343974279300).

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

10101102111100 is a wasteful number, since it uses less digits than its factorization.

10101102111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479733 (or 3479726 counting only the distinct ones).

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

Adding to 10101102111100 its reverse (111120110101), we get a palindrome (10212222221201).

It can be divided in two parts, 10101 and 102111100, that added together give a palindrome (102121201).

The spelling of 10101102111100 in words is "ten trillion, one hundred one billion, one hundred two million, one hundred eleven thousand, one hundred".