10020121211100 has 864 divisors, whose sum is σ = 39886142123520. Its totient is φ = 1889329305600.

The previous prime is 10020121211099. The next prime is 10020121211183. The reversal of 10020121211100 is 111212102001.

It is a super-2 number, since 2×10020121211100² (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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 194868994 + ... + 194920406.

Almost surely, 2^{10020121211100} is an apocalyptic number.

10020121211100 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 10020121211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19943071061760).

10020121211100 is an abundant number, since it is smaller than the sum of its proper divisors (29866020912420).

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

10020121211100 is a wasteful number, since it uses less digits than its factorization.

10020121211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51531 (or 51513 counting only the distinct ones).

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

Adding to 10020121211100 its reverse (111212102001), we get a palindrome (10131333313101).

The spelling of 10020121211100 in words is "ten trillion, twenty billion, one hundred twenty-one million, two hundred eleven thousand, one hundred".