101002100010010 has 16 divisors (see below), whose sum is σ = 181804001299200. Its totient is φ = 40400790830416.

The previous prime is 101002100009969. The next prime is 101002100010011. The reversal of 101002100010010 is 10010001200101.

It is a junction number, because it is equal to n+sod(n) for n = 101002100009975 and 101002100010002.

It is not an unprimeable number, because it can be changed into a prime (101002100010011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3149571 + ... + 14557609.

It is an arithmetic number, because the mean of its divisors is an integer number (11362750081200).

Almost surely, 2^{101002100010010} is an apocalyptic number.

101002100010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101002100010010 is a deficient number, since it is larger than the sum of its proper divisors (80801901289190).

101002100010010 is a wasteful number, since it uses less digits than its factorization.

101002100010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12293405.

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

Adding to 101002100010010 its reverse (10010001200101), we get a palindrome (111012101210111).

The spelling of 101002100010010 in words is "one hundred one trillion, two billion, one hundred million, ten thousand, ten".