10100021101011 has 40 divisors (see below), whose sum is σ = 15271541725440. Its totient is φ = 6651318088368.

The previous prime is 10100021100979. The next prime is 10100021101043. The reversal of 10100021101011 is 11010112000101.

It is an interprime number because it is at equal distance from previous prime (10100021100979) and next prime (10100021101043).

It is not a de Polignac number, because 10100021101011 - 2⁵ = 10100021100979 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 = 10100021100984 and 10100021101002.

It is not an unprimeable number, because it can be changed into a prime (10100021101081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51258666 + ... + 51455328.

It is an arithmetic number, because the mean of its divisors is an integer number (381788543136).

Almost surely, 2^{10100021101011} is an apocalyptic number.

10100021101011 is a deficient number, since it is larger than the sum of its proper divisors (5171520624429).

10100021101011 is an equidigital number, since it uses as much as digits as its factorization.

10100021101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204397 (or 204388 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10100021101011 its reverse (11010112000101), we get a palindrome (21110133101112).

The spelling of 10100021101011 in words is "ten trillion, one hundred billion, twenty-one million, one hundred one thousand, eleven".