100211102022000 has 320 divisors, whose sum is σ = 324772232818176. Its totient is φ = 26583361228800.

The previous prime is 100211102021969. The next prime is 100211102022001. The reversal of 100211102022000 is 220201112001.

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 (100211102022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1006864239 + ... + 1006963761.

Almost surely, 2^{100211102022000} is an apocalyptic number.

100211102022000 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 100211102022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162386116409088).

100211102022000 is an abundant number, since it is smaller than the sum of its proper divisors (224561130796176).

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

100211102022000 is a wasteful number, since it uses less digits than its factorization.

100211102022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100425 (or 100409 counting only the distinct ones).

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

Adding to 100211102022000 its reverse (220201112001), we get a palindrome (100431303134001).

Subtracting from 100211102022000 its reverse (220201112001), we obtain a palindrome (99990900909999).

The spelling of 100211102022000 in words is "one hundred trillion, two hundred eleven billion, one hundred two million, twenty-two thousand".