101201001122000 has 320 divisors, whose sum is σ = 285518119670784. Its totient is φ = 34350614323200.

The previous prime is 101201001121991. The next prime is 101201001122009. The reversal of 101201001122000 is 221100102101.

It is an interprime number because it is at equal distance from previous prime (101201001121991) and next prime (101201001122009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201001122009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16343657 + ... + 21668343.

Almost surely, 2^{101201001122000} is an apocalyptic number.

101201001122000 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 101201001122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142759059835392).

101201001122000 is an abundant number, since it is smaller than the sum of its proper divisors (184317118548784).

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

101201001122000 is a wasteful number, since it uses less digits than its factorization.

101201001122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5324783 (or 5324767 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101201001122000 its reverse (221100102101), we get a palindrome (101422101224101).

The spelling of 101201001122000 in words is "one hundred one trillion, two hundred one billion, one million, one hundred twenty-two thousand".