101100121101210 has 768 divisors, whose sum is σ = 327256610365440. Its totient is φ = 19348565852160.

The previous prime is 101100121101179. The next prime is 101100121101247. The reversal of 101100121101210 is 12101121001101.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 53805279051 + ... + 53805280929.

It is an arithmetic number, because the mean of its divisors is an integer number (426115378080).

Almost surely, 2^{101100121101210} is an apocalyptic number.

101100121101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100121101210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163628305182720).

101100121101210 is an abundant number, since it is smaller than the sum of its proper divisors (226156489264230).

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

101100121101210 is a wasteful number, since it uses less digits than its factorization.

101100121101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101100121101210 its reverse (12101121001101), we get a palindrome (113201242102311).

The spelling of 101100121101210 in words is "one hundred one trillion, one hundred billion, one hundred twenty-one million, one hundred one thousand, two hundred ten".