100010201010010 has 32 divisors (see below), whose sum is σ = 180267844619520. Its totient is φ = 39948667632192.

The previous prime is 100010201009993. The next prime is 100010201010011. The reversal of 100010201010010 is 10010102010001.

It is a junction number, because it is equal to n+sod(n) for n = 100010201009975 and 100010201010002.

It is not an unprimeable number, because it can be changed into a prime (100010201010011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27021711 + ... + 30499069.

It is an arithmetic number, because the mean of its divisors is an integer number (5633370144360).

Almost surely, 2^{100010201010010} is an apocalyptic number.

100010201010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100010201010010 is a deficient number, since it is larger than the sum of its proper divisors (80257643609510).

100010201010010 is a wasteful number, since it uses less digits than its factorization.

100010201010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3481350.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100010201010010 its reverse (10010102010001), we get a palindrome (110020303020011).

Subtracting from 100010201010010 its reverse (10010102010001), we obtain a palindrome (90000099000009).

The spelling of 100010201010010 in words is "one hundred trillion, ten billion, two hundred one million, ten thousand, ten".