101000002012 has 72 divisors (see below), whose sum is σ = 219300026400. Its totient is φ = 39852603648.

The previous prime is 101000002009. The next prime is 101000002031. The reversal of 101000002012 is 210200000101.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 101000001986 and 101000002004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1813314 + ... + 1868182.

It is an arithmetic number, because the mean of its divisors is an integer number (3045833700).

Almost surely, 2^101000002012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101000002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109650013200).

101000002012 is an abundant number, since it is smaller than the sum of its proper divisors (118300024388).

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

101000002012 is a wasteful number, since it uses less digits than its factorization.

101000002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55295 (or 55280 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 101000002012 its reverse (210200000101), we get a palindrome (311200002113).

The spelling of 101000002012 in words is "one hundred one billion, two thousand, twelve".