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1010110221021 = 311283310804589
BaseRepresentation
bin11101011001011110100…
…00101100101011011101
310120120021022120212102110
432230233100230223131
5113022201204033041
62052012131344233
7132656321133036
oct16545720545335
93516238525373
101010110221021
1135a426982660
12143923a52079
1374339a67b45
1436c6509ba8d
151b41e147516
hexeb2f42cadd

1010110221021 has 16 divisors (see below), whose sum is σ = 1469769986880. Its totient is φ = 611971864320.

The previous prime is 1010110220983. The next prime is 1010110221037. The reversal of 1010110221021 is 1201220110101.

It is not a de Polignac number, because 1010110221021 - 26 = 1010110220957 is a prime.

It is a super-2 number, since 2×10101102210212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010110220988 and 1010110221006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010110221091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5308806 + ... + 5495783.

It is an arithmetic number, because the mean of its divisors is an integer number (91860624180).

Almost surely, 21010110221021 is an apocalyptic number.

1010110221021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010110221021 is a deficient number, since it is larger than the sum of its proper divisors (459659765859).

1010110221021 is a wasteful number, since it uses less digits than its factorization.

1010110221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10807436.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1010110221021 its reverse (1201220110101), we get a palindrome (2211330331122).

The spelling of 1010110221021 in words is "one trillion, ten billion, one hundred ten million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 11 33 2833 8499 31163 93489 10804589 32413767 118850479 356551437 30609400637 91828201911 336703407007 1010110221021