100101210101120 has 128 divisors (see below), whose sum is σ = 246694174884000. Its totient is φ = 38822627524608.

The previous prime is 100101210101107. The next prime is 100101210101143. The reversal of 100101210101120 is 21101012101001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15400955 + ... + 20913914.

Almost surely, 2^{100101210101120} is an apocalyptic number.

100101210101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101210101120 is an abundant number, since it is smaller than the sum of its proper divisors (146592964782880).

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

100101210101120 is an equidigital number, since it uses as much as digits as its factorization.

100101210101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36315020 (or 36315008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100101210101120 its reverse (21101012101001), we get a palindrome (121202222202121).

The spelling of 100101210101120 in words is "one hundred trillion, one hundred one billion, two hundred ten million, one hundred one thousand, one hundred twenty".