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102011010101 = 7211131761101139
BaseRepresentation
bin101111100000001010…
…1000111110000110101
3100202022022201020111022
41133000111013300311
53132404304310401
6114510241550525
710240633164500
oct1370025076065
9322268636438
10102011010101
113a298612820
121792b345445
139809340350
144d1a184137
1529c0a7471b
hex17c0547c35

102011010101 has 192 divisors, whose sum is σ = 152607732480. Its totient is φ = 66769920000.

The previous prime is 102011010077. The next prime is 102011010103. The reversal of 102011010101 is 101010110201.

It is a happy number.

It is not a de Polignac number, because 102011010101 - 218 = 102010747957 is a prime.

It is a super-3 number, since 3×1020110101013 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011010103) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 733892090 + ... + 733892228.

It is an arithmetic number, because the mean of its divisors is an integer number (794831940).

Almost surely, 2102011010101 is an apocalyptic number.

102011010101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102011010101 is a deficient number, since it is larger than the sum of its proper divisors (50596722379).

102011010101 is a wasteful number, since it uses less digits than its factorization.

102011010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 102011010101 its reverse (101010110201), we get a palindrome (203021120302).

It can be divided in two parts, 10201 and 1010101, that multiplied together give a palindrome (10304040301).

The spelling of 102011010101 in words is "one hundred two billion, eleven million, ten thousand, one hundred one".