100101001020010 has 16 divisors (see below), whose sum is σ = 180184645992456. Its totient is φ = 40039768373248.

The previous prime is 100101001019983. The next prime is 100101001020089. The reversal of 100101001020010 is 10020100101001.

It can be written as a sum of positive squares in 4 ways, for example, as 41583809999601 + 58517191020409 = 6448551^2 + 7649653^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100101001019975 and 100101001020002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78338887 + ... + 79606426.

Almost surely, 2^{100101001020010} is an apocalyptic number.

100101001020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101001020010 is a deficient number, since it is larger than the sum of its proper divisors (80083644972446).

100101001020010 is a wasteful number, since it uses less digits than its factorization.

100101001020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158008697.

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

Adding to 100101001020010 its reverse (10020100101001), we get a palindrome (110121101121011).

The spelling of 100101001020010 in words is "one hundred trillion, one hundred one billion, one million, twenty thousand, ten".