101002002010 has 64 divisors (see below), whose sum is σ = 223819593984. Its totient is φ = 31956710400.

The previous prime is 101002001987. The next prime is 101002002103. The reversal of 101002002010 is 10200200101.

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 = 101002001984 and 101002002002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3846225 + ... + 3872395.

It is an arithmetic number, because the mean of its divisors is an integer number (3497181156).

Almost surely, 2^101002002010 is an apocalyptic number.

101002002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101002002010 is an abundant number, since it is smaller than the sum of its proper divisors (122817591974).

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

101002002010 is a wasteful number, since it uses less digits than its factorization.

101002002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30439.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 101002002010 its reverse (10200200101), we get a palindrome (111202202111).

The spelling of 101002002010 in words is "one hundred one billion, two million, two thousand, ten".