10011211022100 has 144 divisors (see below), whose sum is σ = 29301330164288. Its totient is φ = 2638905384960.

The previous prime is 10011211022089. The next prime is 10011211022123. The reversal of 10011211022100 is 122011211001.

It is a super-2 number, since 2×10011211022100² (a number of 27 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8539647 + ... + 9640953.

Almost surely, 2^{10011211022100} is an apocalyptic number.

10011211022100 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 10011211022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14650665082144).

10011211022100 is an abundant number, since it is smaller than the sum of its proper divisors (19290119142188).

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

10011211022100 is a wasteful number, since it uses less digits than its factorization.

10011211022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101674 (or 1101667 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10011211022100 its reverse (122011211001), we get a palindrome (10133222233101).

The spelling of 10011211022100 in words is "ten trillion, eleven billion, two hundred eleven million, twenty-two thousand, one hundred".