10101002112 has 48 divisors (see below), whose sum is σ = 29066689080. Its totient is φ = 3367000320.

The previous prime is 10101002083. The next prime is 10101002113. The reversal of 10101002112 is 21120010101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 10101002094 and 10101002103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101002113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4382964 + ... + 4385267.

Almost surely, 2^10101002112 is an apocalyptic number.

10101002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101002112 is an abundant number, since it is smaller than the sum of its proper divisors (18965686968).

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

10101002112 is an equidigital number, since it uses as much as digits as its factorization.

10101002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8768251 (or 8768236 counting only the distinct ones).

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

Adding to 10101002112 its reverse (21120010101), we get a palindrome (31221012213).

The spelling of 10101002112 in words is "ten billion, one hundred one million, two thousand, one hundred twelve".