101011002112 has 36 divisors (see below), whose sum is σ = 203166638136. Its totient is φ = 50119946240.

The previous prime is 101011002107. The next prime is 101011002119. The reversal of 101011002112 is 211200110101.

It is not an unprimeable number, because it can be changed into a prime (101011002119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1472473 + ... + 1539544.

It is an arithmetic number, because the mean of its divisors is an integer number (5643517726).

Almost surely, 2^101011002112 is an apocalyptic number.

It is an amenable number.

101011002112 is an abundant number, since it is smaller than the sum of its proper divisors (102155636024).

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

101011002112 is an equidigital number, since it uses as much as digits as its factorization.

101011002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012164 (or 3012150 counting only the distinct ones).

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

Adding to 101011002112 its reverse (211200110101), we get a palindrome (312211112213).

The spelling of 101011002112 in words is "one hundred one billion, eleven million, two thousand, one hundred twelve".