10011010022101 has 16 divisors (see below), whose sum is σ = 10937477573568. Its totient is φ = 9087273664000.

The previous prime is 10011010022081. The next prime is 10011010022149. The reversal of 10011010022101 is 10122001011001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10011010022101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011010022161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128526570 + ... + 128604436.

It is an arithmetic number, because the mean of its divisors is an integer number (683592348348).

Almost surely, 2^{10011010022101} is an apocalyptic number.

10011010022101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011010022101 is a deficient number, since it is larger than the sum of its proper divisors (926467551467).

10011010022101 is a wasteful number, since it uses less digits than its factorization.

10011010022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95252.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10011010022101 its reverse (10122001011001), we get a palindrome (20133011033102).

The spelling of 10011010022101 in words is "ten trillion, eleven billion, ten million, twenty-two thousand, one hundred one".