101223111111000 has 256 divisors, whose sum is σ = 318729099312000. Its totient is φ = 26744760320000.

The previous prime is 101223111110963. The next prime is 101223111111007. The reversal of 101223111111000 is 111111322101.

It is a super-2 number, since 2×101223111111000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101223111111007) 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, 178964644 + ... + 179529356.

Almost surely, 2^{101223111111000} is an apocalyptic number.

101223111111000 is a gapful number since it is divisible by the number (10) 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 101223111111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364549656000).

101223111111000 is an abundant number, since it is smaller than the sum of its proper divisors (217505988201000).

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

101223111111000 is a wasteful number, since it uses less digits than its factorization.

101223111111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565287 (or 565273 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 101223111111000 its reverse (111111322101), we get a palindrome (101334222433101).

The spelling of 101223111111000 in words is "one hundred one trillion, two hundred twenty-three billion, one hundred eleven million, one hundred eleven thousand".