100001102001010 has 128 divisors (see below), whose sum is σ = 219360089088000. Its totient is φ = 32059390940928.

The previous prime is 100001102000927. The next prime is 100001102001013. The reversal of 100001102001010 is 10100201100001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 100001102000984 and 100001102001002.

It is not an unprimeable number, because it can be changed into a prime (100001102001013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308638812 + ... + 308962648.

It is an arithmetic number, because the mean of its divisors is an integer number (1713750696000).

Almost surely, 2^{100001102001010} is an apocalyptic number.

100001102001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100001102001010 is an abundant number, since it is smaller than the sum of its proper divisors (119358987086990).

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

100001102001010 is a wasteful number, since it uses less digits than its factorization.

100001102001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326888.

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

Adding to 100001102001010 its reverse (10100201100001), we get a palindrome (110101303101011).

The spelling of 100001102001010 in words is "one hundred trillion, one billion, one hundred two million, one thousand, ten".