10000001020100 has 144 divisors (see below), whose sum is σ = 26709357741696. Its totient is φ = 3164638464000.

The previous prime is 10000001020033. The next prime is 10000001020153. The reversal of 10000001020100 is 102010000001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 234494780 + ... + 234537420.

It is an arithmetic number, because the mean of its divisors is an integer number (185481650984).

Almost surely, 2^{10000001020100} is an apocalyptic number.

10000001020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000001020100 is an abundant number, since it is smaller than the sum of its proper divisors (16709356721596).

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

10000001020100 is a wasteful number, since it uses less digits than its factorization.

10000001020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68446 (or 68439 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10000001020100 its reverse (102010000001), we get a palindrome (10102011020101).

It can be divided in two parts, 1000000 and 1020100, that multiplied together give a square (1020100000000 = 1010000²).

The spelling of 10000001020100 in words is "ten trillion, one million, twenty thousand, one hundred".