10101113100 has 540 divisors, whose sum is σ = 36441355104. Its totient is φ = 2418024960.

The previous prime is 10101113083. The next prime is 10101113213. The reversal of 10101113100 is 131110101.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×10101113100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 64338222 + ... + 64338378.

Almost surely, 2^10101113100 is an apocalyptic number.

10101113100 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 10101113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18220677552).

10101113100 is an abundant number, since it is smaller than the sum of its proper divisors (26340242004).

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

10101113100 is a wasteful number, since it uses less digits than its factorization.

10101113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10101113100 its reverse (131110101), we get a palindrome (10232223201).

It can be divided in two parts, 10101 and 113100, that added together give a square (123201 = 351²).

The spelling of 10101113100 in words is "ten billion, one hundred one million, one hundred thirteen thousand, one hundred".