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101202110010 = 23256771660957
BaseRepresentation
bin101111001000000011…
…1011010011000111010
3100200012221121212011200
41132100013122120322
53124230220010020
6114254104235030
710211611512261
oct1362007323072
9320187555150
10101202110010
1139a12a53151
121774446ba76
13970a892441
144c8097d5d8
152974a40590
hex17901da63a

101202110010 has 48 divisors (see below), whose sum is σ = 263514308616. Its totient is φ = 26947350144.

The previous prime is 101202110003. The next prime is 101202110011. The reversal of 101202110010 is 10011202101.

It is a happy number.

101202110010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 98736093729 + 2466016281 = 314223^2 + 49659^2 .

It is a super-2 number, since 2×1012021100102 (a number of 23 digits) contains 22 as substring.

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 = 101202109974 and 101202110001.

It is not an unprimeable number, because it can be changed into a prime (101202110011) 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, 769549 + ... + 891408.

Almost surely, 2101202110010 is an apocalyptic number.

101202110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101202110010 is an abundant number, since it is smaller than the sum of its proper divisors (162312198606).

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

101202110010 is a wasteful number, since it uses less digits than its factorization.

101202110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661647 (or 1661644 counting only the distinct ones).

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

Adding to 101202110010 its reverse (10011202101), we get a palindrome (111213312111).

The spelling of 101202110010 in words is "one hundred one billion, two hundred two million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 677 1354 2031 3385 4062 6093 6770 10155 12186 20310 30465 60930 1660957 3321914 4982871 8304785 9965742 14948613 16609570 24914355 29897226 49828710 74743065 149486130 1124467889 2248935778 3373403667 5622339445 6746807334 10120211001 11244678890 16867018335 20240422002 33734036670 50601055005 101202110010