100120110101010 has 96 divisors (see below), whose sum is σ = 271408955351040. Its totient is φ = 25575074469504.

The previous prime is 100120110100987. The next prime is 100120110101071. The reversal of 100120110101010 is 10101011021001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100120110100983 and 100120110101001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150692922 + ... + 151355861.

It is an arithmetic number, because the mean of its divisors is an integer number (2827176618240).

Almost surely, 2^{100120110101010} is an apocalyptic number.

100120110101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100120110101010 is an abundant number, since it is smaller than the sum of its proper divisors (171288845250030).

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

100120110101010 is a wasteful number, since it uses less digits than its factorization.

100120110101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302048952 (or 302048949 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100120110101010 its reverse (10101011021001), we get a palindrome (110221121122011).

The spelling of 100120110101010 in words is "one hundred trillion, one hundred twenty billion, one hundred ten million, one hundred one thousand, ten".