101111022012 has 192 divisors, whose sum is σ = 318366720000. Its totient is φ = 24120011520.

The previous prime is 101111021983. The next prime is 101111022013. The reversal of 101111022012 is 210220111101.

It is a super-2 number, since 2×101111022012² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111022013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2369239 + ... + 2411537.

It is an arithmetic number, because the mean of its divisors is an integer number (1658160000).

Almost surely, 2^101111022012 is an apocalyptic number.

101111022012 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 101111022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159183360000).

101111022012 is an abundant number, since it is smaller than the sum of its proper divisors (217255697988).

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

101111022012 is a wasteful number, since it uses less digits than its factorization.

101111022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42536 (or 42534 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101111022012 its reverse (210220111101), we get a palindrome (311331133113).

The spelling of 101111022012 in words is "one hundred one billion, one hundred eleven million, twenty-two thousand, twelve".