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102021101010 = 23251577220177
BaseRepresentation
bin101111100000011101…
…1100111010111010010
3100202100000200220121200
41133000323213113102
53132414400213020
6114511242132030
710241115023163
oct1370073472722
9322300626550
10102021101010
113a2a3285214
12179327b1016
13980b4643ba
144d1b64d76a
1529c18b9590
hex17c0ee75d2

102021101010 has 48 divisors (see below), whose sum is σ = 266944421016. Its totient is φ = 27032338944.

The previous prime is 102021101009. The next prime is 102021101047. The reversal of 102021101010 is 10101120201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 89573905521 + 12447195489 = 299289^2 + 111567^2 .

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 = 102021100983 and 102021101001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3595959 + ... + 3624218.

Almost surely, 2102021101010 is an apocalyptic number.

102021101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102021101010 is an abundant number, since it is smaller than the sum of its proper divisors (164923320006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102021101010 is a wasteful number, since it uses less digits than its factorization.

102021101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7220347 (or 7220344 counting only the distinct ones).

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

Adding to 102021101010 its reverse (10101120201), we get a palindrome (112122221211).

The spelling of 102021101010 in words is "one hundred two billion, twenty-one million, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2355 2826 4710 7065 14130 7220177 14440354 21660531 36100885 43321062 64981593 72201770 108302655 129963186 216605310 324907965 649815930 1133567789 2267135578 3400703367 5667838945 6801406734 10202110101 11335677890 17003516835 20404220202 34007033670 51010550505 102021101010