210101121100 has 108 divisors (see below), whose sum is σ = 494185286784. Its totient is φ = 77497655040.

The previous prime is 210101121071. The next prime is 210101121101. The reversal of 210101121100 is 1121101012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (210101121101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18364582 + ... + 18376018.

Almost surely, 2^210101121100 is an apocalyptic number.

210101121100 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 210101121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247092643392).

210101121100 is an abundant number, since it is smaller than the sum of its proper divisors (284084165684).

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

210101121100 is a wasteful number, since it uses less digits than its factorization.

210101121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12564 (or 12544 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 210101121100 its reverse (1121101012), we get a palindrome (211222222112).

The spelling of 210101121100 in words is "two hundred ten billion, one hundred one million, one hundred twenty-one thousand, one hundred".