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1001211202101 = 311269112787113
BaseRepresentation
bin11101001000111001101…
…01101000101000110101
310112201022010111212102010
432210130311220220311
5112400440031431401
62043541114434433
7132222642541335
oct16443465505065
93481263455363
101001211202101
1135667a692a70
1214205b732a19
137354c1b2a86
143665d2510c5
151b09cc65ed6
hexe91cd68a35

1001211202101 has 16 divisors (see below), whose sum is σ = 1461720997440. Its totient is φ = 604538920320.

The previous prime is 1001211202091. The next prime is 1001211202133. The reversal of 1001211202101 is 1012021121001.

1001211202101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001211202101 - 29 = 1001211201589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001211202181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56384680 + ... + 56402433.

It is an arithmetic number, because the mean of its divisors is an integer number (91357562340).

Almost surely, 21001211202101 is an apocalyptic number.

1001211202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001211202101 is a deficient number, since it is larger than the sum of its proper divisors (460509795339).

1001211202101 is a wasteful number, since it uses less digits than its factorization.

1001211202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112787396.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001211202101 its reverse (1012021121001), we get a palindrome (2013232323102).

The spelling of 1001211202101 in words is "one trillion, one billion, two hundred eleven million, two hundred two thousand, one hundred one".

Divisors: 1 3 11 33 269 807 2959 8877 112787113 338361339 1240658243 3721974729 30339733397 91019200191 333737067367 1001211202101