210121220101100 has 432 divisors, whose sum is σ = 575168929540800. Its totient is φ = 65219762995200.

The previous prime is 210121220101019. The next prime is 210121220101153. The reversal of 210121220101100 is 1101022121012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20868126866 + ... + 20868136934.

Almost surely, 2^{210121220101100} is an apocalyptic number.

210121220101100 is a gapful number since it is divisible by the number (20) 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 210121220101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287584464770400).

210121220101100 is an abundant number, since it is smaller than the sum of its proper divisors (365047709439700).

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

210121220101100 is a wasteful number, since it uses less digits than its factorization.

210121220101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11114 (or 11096 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 210121220101100 its reverse (1101022121012), we get a palindrome (211222242222112).

The spelling of 210121220101100 in words is "two hundred ten trillion, one hundred twenty-one billion, two hundred twenty million, one hundred one thousand, one hundred".