101022012 has 192 divisors, whose sum is σ = 339942400. Its totient is φ = 25194240.

The previous prime is 101021981. The next prime is 101022059. The reversal of 101022012 is 210220101.

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 = 101021985 and 101022003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186462 + ... + 187002.

Almost surely, 2^101022012 is an apocalyptic number.

101022012 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 101022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169971200).

101022012 is an abundant number, since it is smaller than the sum of its proper divisors (238920388).

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

101022012 is a wasteful number, since it uses less digits than its factorization.

101022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101022012 is about 10050.9706993902. The cubic root of 101022012 is about 465.7347800369.

Adding to 101022012 its reverse (210220101), we get a palindrome (311242113).

The spelling of 101022012 in words is "one hundred one million, twenty-two thousand, twelve".