101222232111000 has 6912 divisors, whose sum is σ = 500061859614720. Its totient is φ = 18228188160000.

The previous prime is 101222232110977. The next prime is 101222232111023. The reversal of 101222232111000 is 111232222101.

101222232111000 is a `hidden beast` number, since 1 + 0 + 12 + 222 + 321 + 110 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (101222232110977) and next prime (101222232111023).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1727 ways as a sum of consecutive naturals, for example, 1425665240965 + ... + 1425665241035.

It is an arithmetic number, because the mean of its divisors is an integer number (72346912560).

Almost surely, 2^{101222232111000} is an apocalyptic number.

101222232111000 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 101222232111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250030929807360).

101222232111000 is an abundant number, since it is smaller than the sum of its proper divisors (398839627503720).

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

101222232111000 is a wasteful number, since it uses less digits than its factorization.

101222232111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101222232111000 its reverse (111232222101), we get a palindrome (101333464333101).

The spelling of 101222232111000 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred thirty-two million, one hundred eleven thousand".