20101002100011 has 48 divisors (see below), whose sum is σ = 34364587665408. Its totient is φ = 11079553507200.

The previous prime is 20101002099953. The next prime is 20101002100013. The reversal of 20101002100011 is 11000120010102.

It is a happy number.

It is not a de Polignac number, because 20101002100011 - 2⁶ = 20101002099947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20101002099966 and 20101002100002.

It is not an unprimeable number, because it can be changed into a prime (20101002100013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16163250 + ... + 17362391.

It is an arithmetic number, because the mean of its divisors is an integer number (715928909696).

Almost surely, 2^{20101002100011} is an apocalyptic number.

20101002100011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20101002100011 is a deficient number, since it is larger than the sum of its proper divisors (14263585565397).

20101002100011 is a wasteful number, since it uses less digits than its factorization.

20101002100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33525992 (or 33525989 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20101002100011 its reverse (11000120010102), we get a palindrome (31101122110113).

The spelling of 20101002100011 in words is "twenty trillion, one hundred one billion, two million, one hundred thousand, eleven".