100120022211000 has 1024 divisors, whose sum is σ = 360357693696000. Its totient is φ = 22917888000000.

The previous prime is 100120022210983. The next prime is 100120022211061. The reversal of 100120022211000 is 112220021001.

100120022211000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100120022211000² (a number of 29 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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11123206500 + ... + 11123215500.

It is an arithmetic number, because the mean of its divisors is an integer number (351911810250).

Almost surely, 2^{100120022211000} is an apocalyptic number.

100120022211000 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 100120022211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180178846848000).

100120022211000 is an abundant number, since it is smaller than the sum of its proper divisors (260237671485000).

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

100120022211000 is a wasteful number, since it uses less digits than its factorization.

100120022211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9321 (or 9307 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100120022211000 its reverse (112220021001), we get a palindrome (100232242232001).

The spelling of 100120022211000 in words is "one hundred trillion, one hundred twenty billion, twenty-two million, two hundred eleven thousand".