10100102112 has 96 divisors (see below), whose sum is σ = 29568823200. Its totient is φ = 3354107904.

The previous prime is 10100102093. The next prime is 10100102119. The reversal of 10100102112 is 21120100101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 10100102094 and 10100102103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100102119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210688 + ... + 254144.

It is an arithmetic number, because the mean of its divisors is an integer number (308008575).

Almost surely, 2^10100102112 is an apocalyptic number.

10100102112 is a gapful number since it is divisible by the number (12) 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 10100102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784411600).

10100102112 is an abundant number, since it is smaller than the sum of its proper divisors (19468721088).

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

10100102112 is a wasteful number, since it uses less digits than its factorization.

10100102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43745 (or 43731 counting only the distinct ones).

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

Adding to 10100102112 its reverse (21120100101), we get a palindrome (31220202213).

The spelling of 10100102112 in words is "ten billion, one hundred million, one hundred two thousand, one hundred twelve".