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1010110002021 = 321761108229937
BaseRepresentation
bin11101011001011110011…
…11110111001101100101
310120120021022011202000100
432230233033313031211
5113022201130031041
62052012122534313
7132656316231411
oct16545717671545
93516238152010
101010110002021
1135a42684306a
12143923967399
13743399bc263
1436c65041d41
151b41e1026b6
hexeb2f3f7365

1010110002021 has 24 divisors (see below), whose sum is σ = 1570199940504. Its totient is φ = 623404431360.

The previous prime is 1010110001993. The next prime is 1010110002053. The reversal of 1010110002021 is 1202000110101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16150851396 + 993959150625 = 127086^2 + 996975^2 .

It is not a de Polignac number, because 1010110002021 - 211 = 1010109999973 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1010110001994 and 1010110002012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010110002521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54105636 + ... + 54124301.

It is an arithmetic number, because the mean of its divisors is an integer number (65424997521).

Almost surely, 21010110002021 is an apocalyptic number.

It is an amenable number.

1010110002021 is a deficient number, since it is larger than the sum of its proper divisors (560089938483).

1010110002021 is a wasteful number, since it uses less digits than its factorization.

1010110002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108230021 (or 108230018 counting only the distinct ones).

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

Adding to 1010110002021 its reverse (1202000110101), we get a palindrome (2212110112122).

The spelling of 1010110002021 in words is "one trillion, ten billion, one hundred ten million, two thousand, twenty-one".

Divisors: 1 3 9 17 51 61 153 183 549 1037 3111 9333 108229937 324689811 974069433 1839908929 5519726787 6602026157 16559180361 19806078471 59418235413 112234444669 336703334007 1010110002021