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10121202102011 = 72111313691105503
BaseRepresentation
bin1001001101001000011010…
…1001111110111011111011
31022211120120222100222021112
42103102012221332323323
52311311210214231021
633305341022430535
72063142552251300
oct223220651767373
938746528328245
1010121202102011
113252417800180
12117568213244b
1358556b3c1a50
1426dc23d910a7
151284206ebd5b
hex93486a7eefb

10121202102011 has 48 divisors (see below), whose sum is σ = 13833113914368. Its totient is φ = 7279384795200.

The previous prime is 10121202102007. The next prime is 10121202102049. The reversal of 10121202102011 is 11020120212101.

It is not a de Polignac number, because 10121202102011 - 22 = 10121202102007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121202102071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95880086 + ... + 95985588.

It is an arithmetic number, because the mean of its divisors is an integer number (288189873216).

Almost surely, 210121202102011 is an apocalyptic number.

10121202102011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10121202102011 is a deficient number, since it is larger than the sum of its proper divisors (3711911812357).

10121202102011 is a wasteful number, since it uses less digits than its factorization.

10121202102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119232 (or 119225 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10121202102011 its reverse (11020120212101), we get a palindrome (21141322314112).

The spelling of 10121202102011 in words is "ten trillion, one hundred twenty-one billion, two hundred two million, one hundred two thousand, eleven".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 13691 95837 105503 150601 177983 670859 738521 1054207 1160533 1245881 1371539 1957813 5169647 7379449 8123731 8721167 9600773 13704691 15086929 56866117 67205411 95932837 105608503 739259521 1444441573 10111091011 15888857303 18777740449 70777637077 111222001121 131444183143 206555144939 778554007847 920109282001 1445886014573 10121202102011